What is the Least Common Multiple of 74616 and 74626?

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 74616 and 74626 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74616 and 74626, than apply into the LCM equation.

GCF(74616,74626) = 2
LCM(74616,74626) = ( 74616 × 74626) / 2
LCM(74616,74626) = 5568293616 / 2
LCM(74616,74626) = 2784146808

Least Common Multiple (LCM) of 74616 and 74626 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74616 and 74626. First we will calculate the prime factors of 74616 and 74626.

Prime Factorization of 74616

Prime Factorization of 74626

Now multiplying the highest exponent prime factors to calculate the LCM of 74616 and 74626.

LCM(74616,74626) = 2³ × 3¹ × 3109¹ × 37313¹
LCM(74616,74626) = 2784146808