What is the Least Common Multiple of 88959 and 88963?

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 88963 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 88963, than apply into the LCM equation.

GCF(88959,88963) = 1
LCM(88959,88963) = ( 88959 × 88963) / 1
LCM(88959,88963) = 7914059517 / 1
LCM(88959,88963) = 7914059517

Least Common Multiple (LCM) of 88959 and 88963 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88959 and 88963. First we will calculate the prime factors of 88959 and 88963.

Prime Factorization of 88959

Prime Factorization of 88963

Now multiplying the highest exponent prime factors to calculate the LCM of 88959 and 88963.

LCM(88959,88963) = 3¹ × 13¹ × 2281¹ × 7¹ × 71¹ × 179¹
LCM(88959,88963) = 7914059517