What is the Least Common Multiple of 97920 and 97938?

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 97938 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 97938, than apply into the LCM equation.

GCF(97920,97938) = 18
LCM(97920,97938) = ( 97920 × 97938) / 18
LCM(97920,97938) = 9590088960 / 18
LCM(97920,97938) = 532782720

Least Common Multiple (LCM) of 97920 and 97938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97920 and 97938. First we will calculate the prime factors of 97920 and 97938.

Prime Factorization of 97920

Prime Factorization of 97938

Now multiplying the highest exponent prime factors to calculate the LCM of 97920 and 97938.

LCM(97920,97938) = 2⁷ × 3² × 5¹ × 17¹ × 5441¹
LCM(97920,97938) = 532782720