What is the Least Common Multiple of 97920 and 97925?

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 97920 and 97925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97920 and 97925, than apply into the LCM equation.

GCF(97920,97925) = 5
LCM(97920,97925) = ( 97920 × 97925) / 5
LCM(97920,97925) = 9588816000 / 5
LCM(97920,97925) = 1917763200

Least Common Multiple (LCM) of 97920 and 97925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97920 and 97925. First we will calculate the prime factors of 97920 and 97925.

Prime Factorization of 97920

Prime Factorization of 97925

Now multiplying the highest exponent prime factors to calculate the LCM of 97920 and 97925.

LCM(97920,97925) = 2⁷ × 3² × 5² × 17¹ × 3917¹
LCM(97920,97925) = 1917763200