What is the Least Common Multiple of 88959 and 88964?

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 88959 and 88964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88959 and 88964, than apply into the LCM equation.

GCF(88959,88964) = 1
LCM(88959,88964) = ( 88959 × 88964) / 1
LCM(88959,88964) = 7914148476 / 1
LCM(88959,88964) = 7914148476

Least Common Multiple (LCM) of 88959 and 88964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88959 and 88964. First we will calculate the prime factors of 88959 and 88964.

Prime Factorization of 88959

Prime Factorization of 88964

Now multiplying the highest exponent prime factors to calculate the LCM of 88959 and 88964.

LCM(88959,88964) = 3¹ × 13¹ × 2281¹ × 2² × 23¹ × 967¹
LCM(88959,88964) = 7914148476