What is the Least Common Multiple of 91972 and 91976?

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 91972 and 91976 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91972 and 91976, than apply into the LCM equation.

GCF(91972,91976) = 4
LCM(91972,91976) = ( 91972 × 91976) / 4
LCM(91972,91976) = 8459216672 / 4
LCM(91972,91976) = 2114804168

Least Common Multiple (LCM) of 91972 and 91976 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91972 and 91976. First we will calculate the prime factors of 91972 and 91976.

Prime Factorization of 91972

Prime Factorization of 91976

Now multiplying the highest exponent prime factors to calculate the LCM of 91972 and 91976.

LCM(91972,91976) = 2³ × 22993¹ × 11497¹
LCM(91972,91976) = 2114804168