What is the Least Common Multiple of 88946 and 88959?

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 88946 and 88959 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88946 and 88959, than apply into the LCM equation.

GCF(88946,88959) = 13
LCM(88946,88959) = ( 88946 × 88959) / 13
LCM(88946,88959) = 7912547214 / 13
LCM(88946,88959) = 608657478

Least Common Multiple (LCM) of 88946 and 88959 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88946 and 88959. First we will calculate the prime factors of 88946 and 88959.

Prime Factorization of 88946

Prime Factorization of 88959

Now multiplying the highest exponent prime factors to calculate the LCM of 88946 and 88959.

LCM(88946,88959) = 2¹ × 11¹ × 13¹ × 311¹ × 3¹ × 2281¹
LCM(88946,88959) = 608657478