What is the Least Common Multiple of 54690 and 54702?
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 54690 and 54702 is 498608730.
LCM(54690,54702) = 498608730
Least Common Multiple of 54690 and 54702 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54690 and 54702, than apply into the LCM equation.
GCF(54690,54702) = 6
LCM(54690,54702) = ( 54690 × 54702) / 6
LCM(54690,54702) = 2991652380 / 6
LCM(54690,54702) = 498608730
Least Common Multiple (LCM) of 54690 and 54702 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54690 and 54702. First we will calculate the prime factors of 54690 and 54702.
Prime Factorization of 54690
Prime factors of 54690 are 2, 3, 5, 1823. Prime factorization of 54690 in exponential form is:
54690 = 21 × 31 × 51 × 18231
Prime Factorization of 54702
Prime factors of 54702 are 2, 3, 1013. Prime factorization of 54702 in exponential form is:
54702 = 21 × 33 × 10131
Now multiplying the highest exponent prime factors to calculate the LCM of 54690 and 54702.
LCM(54690,54702) = 21 × 33 × 51 × 18231 × 10131
LCM(54690,54702) = 498608730
Related Least Common Multiples of 54690
- LCM of 54690 and 54694
- LCM of 54690 and 54695
- LCM of 54690 and 54696
- LCM of 54690 and 54697
- LCM of 54690 and 54698
- LCM of 54690 and 54699
- LCM of 54690 and 54700
- LCM of 54690 and 54701
- LCM of 54690 and 54702
- LCM of 54690 and 54703
- LCM of 54690 and 54704
- LCM of 54690 and 54705
- LCM of 54690 and 54706
- LCM of 54690 and 54707
- LCM of 54690 and 54708
- LCM of 54690 and 54709
- LCM of 54690 and 54710
Related Least Common Multiples of 54702
- LCM of 54702 and 54706
- LCM of 54702 and 54707
- LCM of 54702 and 54708
- LCM of 54702 and 54709
- LCM of 54702 and 54710
- LCM of 54702 and 54711
- LCM of 54702 and 54712
- LCM of 54702 and 54713
- LCM of 54702 and 54714
- LCM of 54702 and 54715
- LCM of 54702 and 54716
- LCM of 54702 and 54717
- LCM of 54702 and 54718
- LCM of 54702 and 54719
- LCM of 54702 and 54720
- LCM of 54702 and 54721
- LCM of 54702 and 54722