What is the Least Common Multiple of 88968 and 88977?

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 88968 and 88977 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88968 and 88977, than apply into the LCM equation.

GCF(88968,88977) = 3
LCM(88968,88977) = ( 88968 × 88977) / 3
LCM(88968,88977) = 7916105736 / 3
LCM(88968,88977) = 2638701912

Least Common Multiple (LCM) of 88968 and 88977 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88968 and 88977. First we will calculate the prime factors of 88968 and 88977.

Prime Factorization of 88968

Prime Factorization of 88977

Now multiplying the highest exponent prime factors to calculate the LCM of 88968 and 88977.

LCM(88968,88977) = 2³ × 3¹ × 11¹ × 337¹ × 7¹ × 19¹ × 223¹
LCM(88968,88977) = 2638701912