What is the Least Common Multiple of 54855 and 54860?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 54855 and 54860 is 601869060.
LCM(54855,54860) = 601869060
Least Common Multiple of 54855 and 54860 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54855 and 54860, than apply into the LCM equation.
GCF(54855,54860) = 5
LCM(54855,54860) = ( 54855 × 54860) / 5
LCM(54855,54860) = 3009345300 / 5
LCM(54855,54860) = 601869060
Least Common Multiple (LCM) of 54855 and 54860 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54855 and 54860. First we will calculate the prime factors of 54855 and 54860.
Prime Factorization of 54855
Prime factors of 54855 are 3, 5, 23, 53. Prime factorization of 54855 in exponential form is:
54855 = 32 × 51 × 231 × 531
Prime Factorization of 54860
Prime factors of 54860 are 2, 5, 13, 211. Prime factorization of 54860 in exponential form is:
54860 = 22 × 51 × 131 × 2111
Now multiplying the highest exponent prime factors to calculate the LCM of 54855 and 54860.
LCM(54855,54860) = 32 × 51 × 231 × 531 × 22 × 131 × 2111
LCM(54855,54860) = 601869060
Related Least Common Multiples of 54855
- LCM of 54855 and 54859
- LCM of 54855 and 54860
- LCM of 54855 and 54861
- LCM of 54855 and 54862
- LCM of 54855 and 54863
- LCM of 54855 and 54864
- LCM of 54855 and 54865
- LCM of 54855 and 54866
- LCM of 54855 and 54867
- LCM of 54855 and 54868
- LCM of 54855 and 54869
- LCM of 54855 and 54870
- LCM of 54855 and 54871
- LCM of 54855 and 54872
- LCM of 54855 and 54873
- LCM of 54855 and 54874
- LCM of 54855 and 54875
Related Least Common Multiples of 54860
- LCM of 54860 and 54864
- LCM of 54860 and 54865
- LCM of 54860 and 54866
- LCM of 54860 and 54867
- LCM of 54860 and 54868
- LCM of 54860 and 54869
- LCM of 54860 and 54870
- LCM of 54860 and 54871
- LCM of 54860 and 54872
- LCM of 54860 and 54873
- LCM of 54860 and 54874
- LCM of 54860 and 54875
- LCM of 54860 and 54876
- LCM of 54860 and 54877
- LCM of 54860 and 54878
- LCM of 54860 and 54879
- LCM of 54860 and 54880