What is the Least Common Multiple of 74675 and 74692?

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 of 74675 and 74692 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74675 and 74692, than apply into the LCM equation.

GCF(74675,74692) = 1
LCM(74675,74692) = ( 74675 × 74692) / 1
LCM(74675,74692) = 5577625100 / 1
LCM(74675,74692) = 5577625100

Least Common Multiple (LCM) of 74675 and 74692 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74675 and 74692. First we will calculate the prime factors of 74675 and 74692.

Prime Factorization of 74675

Prime Factorization of 74692

Now multiplying the highest exponent prime factors to calculate the LCM of 74675 and 74692.

LCM(74675,74692) = 5² × 29¹ × 103¹ × 2² × 71¹ × 263¹
LCM(74675,74692) = 5577625100