What is the Least Common Multiple of 7851 and 7860?
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 7851 and 7860 is 20569620.
LCM(7851,7860) = 20569620
Least Common Multiple of 7851 and 7860 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7851 and 7860, than apply into the LCM equation.
GCF(7851,7860) = 3
LCM(7851,7860) = ( 7851 × 7860) / 3
LCM(7851,7860) = 61708860 / 3
LCM(7851,7860) = 20569620
Least Common Multiple (LCM) of 7851 and 7860 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 7851 and 7860. First we will calculate the prime factors of 7851 and 7860.
Prime Factorization of 7851
Prime factors of 7851 are 3, 2617. Prime factorization of 7851 in exponential form is:
7851 = 31 × 26171
Prime Factorization of 7860
Prime factors of 7860 are 2, 3, 5, 131. Prime factorization of 7860 in exponential form is:
7860 = 22 × 31 × 51 × 1311
Now multiplying the highest exponent prime factors to calculate the LCM of 7851 and 7860.
LCM(7851,7860) = 31 × 26171 × 22 × 51 × 1311
LCM(7851,7860) = 20569620
Related Least Common Multiples of 7851
- LCM of 7851 and 7855
- LCM of 7851 and 7856
- LCM of 7851 and 7857
- LCM of 7851 and 7858
- LCM of 7851 and 7859
- LCM of 7851 and 7860
- LCM of 7851 and 7861
- LCM of 7851 and 7862
- LCM of 7851 and 7863
- LCM of 7851 and 7864
- LCM of 7851 and 7865
- LCM of 7851 and 7866
- LCM of 7851 and 7867
- LCM of 7851 and 7868
- LCM of 7851 and 7869
- LCM of 7851 and 7870
- LCM of 7851 and 7871
Related Least Common Multiples of 7860
- LCM of 7860 and 7864
- LCM of 7860 and 7865
- LCM of 7860 and 7866
- LCM of 7860 and 7867
- LCM of 7860 and 7868
- LCM of 7860 and 7869
- LCM of 7860 and 7870
- LCM of 7860 and 7871
- LCM of 7860 and 7872
- LCM of 7860 and 7873
- LCM of 7860 and 7874
- LCM of 7860 and 7875
- LCM of 7860 and 7876
- LCM of 7860 and 7877
- LCM of 7860 and 7878
- LCM of 7860 and 7879
- LCM of 7860 and 7880