What is the Least Common Multiple of 91968 and 91977?

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 91968 and 91977 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91968 and 91977, than apply into the LCM equation.

GCF(91968,91977) = 3
LCM(91968,91977) = ( 91968 × 91977) / 3
LCM(91968,91977) = 8458940736 / 3
LCM(91968,91977) = 2819646912

Least Common Multiple (LCM) of 91968 and 91977 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91968 and 91977. First we will calculate the prime factors of 91968 and 91977.

Prime Factorization of 91968

Prime Factorization of 91977

Now multiplying the highest exponent prime factors to calculate the LCM of 91968 and 91977.

LCM(91968,91977) = 2⁶ × 3¹ × 479¹ × 23¹ × 31¹ × 43¹
LCM(91968,91977) = 2819646912