What is the Least Common Multiple of 74538 and 74546?

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 74546 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 74546, than apply into the LCM equation.

GCF(74538,74546) = 2
LCM(74538,74546) = ( 74538 × 74546) / 2
LCM(74538,74546) = 5556509748 / 2
LCM(74538,74546) = 2778254874

Least Common Multiple (LCM) of 74538 and 74546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74538 and 74546. First we will calculate the prime factors of 74538 and 74546.

Prime Factorization of 74538

Prime Factorization of 74546

Now multiplying the highest exponent prime factors to calculate the LCM of 74538 and 74546.

LCM(74538,74546) = 2¹ × 3² × 41¹ × 101¹ × 37273¹
LCM(74538,74546) = 2778254874