What is the Least Common Multiple of 74556 and 74574?

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 74556 and 74574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74556 and 74574, than apply into the LCM equation.

GCF(74556,74574) = 18
LCM(74556,74574) = ( 74556 × 74574) / 18
LCM(74556,74574) = 5559939144 / 18
LCM(74556,74574) = 308885508

Least Common Multiple (LCM) of 74556 and 74574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74556 and 74574. First we will calculate the prime factors of 74556 and 74574.

Prime Factorization of 74556

Prime Factorization of 74574

Now multiplying the highest exponent prime factors to calculate the LCM of 74556 and 74574.

LCM(74556,74574) = 2² × 3³ × 19¹ × 109¹ × 1381¹
LCM(74556,74574) = 308885508