What is the Least Common Multiple of 10968 and 10977?

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 10968 and 10977 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10968 and 10977, than apply into the LCM equation.

GCF(10968,10977) = 3
LCM(10968,10977) = ( 10968 × 10977) / 3
LCM(10968,10977) = 120395736 / 3
LCM(10968,10977) = 40131912

Least Common Multiple (LCM) of 10968 and 10977 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10968 and 10977. First we will calculate the prime factors of 10968 and 10977.

Prime Factorization of 10968

Prime Factorization of 10977

Now multiplying the highest exponent prime factors to calculate the LCM of 10968 and 10977.

LCM(10968,10977) = 2³ × 3¹ × 457¹ × 3659¹
LCM(10968,10977) = 40131912