What is the Least Common Multiple of 93992 and 93997?

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 93992 and 93997 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93992 and 93997, than apply into the LCM equation.

GCF(93992,93997) = 1
LCM(93992,93997) = ( 93992 × 93997) / 1
LCM(93992,93997) = 8834966024 / 1
LCM(93992,93997) = 8834966024

Least Common Multiple (LCM) of 93992 and 93997 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93992 and 93997. First we will calculate the prime factors of 93992 and 93997.

Prime Factorization of 93992

Prime Factorization of 93997

Now multiplying the highest exponent prime factors to calculate the LCM of 93992 and 93997.

LCM(93992,93997) = 2³ × 31¹ × 379¹ × 93997¹
LCM(93992,93997) = 8834966024