What is the Least Common Multiple of 88968 and 88972?

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 88972 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 88972, than apply into the LCM equation.

GCF(88968,88972) = 4
LCM(88968,88972) = ( 88968 × 88972) / 4
LCM(88968,88972) = 7915660896 / 4
LCM(88968,88972) = 1978915224

Least Common Multiple (LCM) of 88968 and 88972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88968 and 88972. First we will calculate the prime factors of 88968 and 88972.

Prime Factorization of 88968

Prime Factorization of 88972

Now multiplying the highest exponent prime factors to calculate the LCM of 88968 and 88972.

LCM(88968,88972) = 2³ × 3¹ × 11¹ × 337¹ × 13¹ × 29¹ × 59¹
LCM(88968,88972) = 1978915224