What is the Least Common Multiple of 74976 and 74984?

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 74976 and 74984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74976 and 74984, than apply into the LCM equation.

GCF(74976,74984) = 8
LCM(74976,74984) = ( 74976 × 74984) / 8
LCM(74976,74984) = 5622000384 / 8
LCM(74976,74984) = 702750048

Least Common Multiple (LCM) of 74976 and 74984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74976 and 74984. First we will calculate the prime factors of 74976 and 74984.

Prime Factorization of 74976

Prime Factorization of 74984

Now multiplying the highest exponent prime factors to calculate the LCM of 74976 and 74984.

LCM(74976,74984) = 2⁵ × 3¹ × 11¹ × 71¹ × 7¹ × 13¹ × 103¹
LCM(74976,74984) = 702750048