What is the Least Common Multiple of 74632 and 74638?

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 74632 and 74638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74632 and 74638, than apply into the LCM equation.

GCF(74632,74638) = 2
LCM(74632,74638) = ( 74632 × 74638) / 2
LCM(74632,74638) = 5570383216 / 2
LCM(74632,74638) = 2785191608

Least Common Multiple (LCM) of 74632 and 74638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74632 and 74638. First we will calculate the prime factors of 74632 and 74638.

Prime Factorization of 74632

Prime Factorization of 74638

Now multiplying the highest exponent prime factors to calculate the LCM of 74632 and 74638.

LCM(74632,74638) = 2³ × 19¹ × 491¹ × 67¹ × 557¹
LCM(74632,74638) = 2785191608