What is the Least Common Multiple of 92970 and 92976?

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 92970 and 92976 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92970 and 92976, than apply into the LCM equation.

GCF(92970,92976) = 6
LCM(92970,92976) = ( 92970 × 92976) / 6
LCM(92970,92976) = 8643978720 / 6
LCM(92970,92976) = 1440663120

Least Common Multiple (LCM) of 92970 and 92976 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92970 and 92976. First we will calculate the prime factors of 92970 and 92976.

Prime Factorization of 92970

Prime Factorization of 92976

Now multiplying the highest exponent prime factors to calculate the LCM of 92970 and 92976.

LCM(92970,92976) = 2⁴ × 3² × 5¹ × 1033¹ × 13¹ × 149¹
LCM(92970,92976) = 1440663120