What is the Least Common Multiple of 74538 and 74556?

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 74538 and 74556 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74538 and 74556, than apply into the LCM equation.

GCF(74538,74556) = 18
LCM(74538,74556) = ( 74538 × 74556) / 18
LCM(74538,74556) = 5557255128 / 18
LCM(74538,74556) = 308736396

Least Common Multiple (LCM) of 74538 and 74556 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74538 and 74556. First we will calculate the prime factors of 74538 and 74556.

Prime Factorization of 74538

Prime Factorization of 74556

Now multiplying the highest exponent prime factors to calculate the LCM of 74538 and 74556.

LCM(74538,74556) = 2² × 3² × 41¹ × 101¹ × 19¹ × 109¹
LCM(74538,74556) = 308736396