What is the Least Common Multiple of 74928 and 74937?

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 74928 and 74937 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74928 and 74937, than apply into the LCM equation.

GCF(74928,74937) = 3
LCM(74928,74937) = ( 74928 × 74937) / 3
LCM(74928,74937) = 5614879536 / 3
LCM(74928,74937) = 1871626512

Least Common Multiple (LCM) of 74928 and 74937 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74928 and 74937. First we will calculate the prime factors of 74928 and 74937.

Prime Factorization of 74928

Prime Factorization of 74937

Now multiplying the highest exponent prime factors to calculate the LCM of 74928 and 74937.

LCM(74928,74937) = 2⁴ × 3¹ × 7¹ × 223¹ × 24979¹
LCM(74928,74937) = 1871626512