What is the Least Common Multiple of 74704 and 74724?

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 74704 and 74724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74704 and 74724, than apply into the LCM equation.

GCF(74704,74724) = 4
LCM(74704,74724) = ( 74704 × 74724) / 4
LCM(74704,74724) = 5582181696 / 4
LCM(74704,74724) = 1395545424

Least Common Multiple (LCM) of 74704 and 74724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74704 and 74724. First we will calculate the prime factors of 74704 and 74724.

Prime Factorization of 74704

Prime Factorization of 74724

Now multiplying the highest exponent prime factors to calculate the LCM of 74704 and 74724.

LCM(74704,74724) = 2⁴ × 7¹ × 23¹ × 29¹ × 3¹ × 13¹ × 479¹
LCM(74704,74724) = 1395545424