What is the Least Common Multiple of 74577 and 74592?

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 74577 and 74592 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74577 and 74592, than apply into the LCM equation.

GCF(74577,74592) = 3
LCM(74577,74592) = ( 74577 × 74592) / 3
LCM(74577,74592) = 5562847584 / 3
LCM(74577,74592) = 1854282528

Least Common Multiple (LCM) of 74577 and 74592 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74577 and 74592. First we will calculate the prime factors of 74577 and 74592.

Prime Factorization of 74577

Prime Factorization of 74592

Now multiplying the highest exponent prime factors to calculate the LCM of 74577 and 74592.

LCM(74577,74592) = 3² × 24859¹ × 2⁵ × 7¹ × 37¹
LCM(74577,74592) = 1854282528