What is the Least Common Multiple of 74724 and 74738?

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 74724 and 74738 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74724 and 74738, than apply into the LCM equation.

GCF(74724,74738) = 2
LCM(74724,74738) = ( 74724 × 74738) / 2
LCM(74724,74738) = 5584722312 / 2
LCM(74724,74738) = 2792361156

Least Common Multiple (LCM) of 74724 and 74738 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74724 and 74738. First we will calculate the prime factors of 74724 and 74738.

Prime Factorization of 74724

Prime Factorization of 74738

Now multiplying the highest exponent prime factors to calculate the LCM of 74724 and 74738.

LCM(74724,74738) = 2² × 3¹ × 13¹ × 479¹ × 37369¹
LCM(74724,74738) = 2792361156