What is the Least Common Multiple of 88429 and 88440?

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 88429 and 88440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88429 and 88440, than apply into the LCM equation.

GCF(88429,88440) = 11
LCM(88429,88440) = ( 88429 × 88440) / 11
LCM(88429,88440) = 7820660760 / 11
LCM(88429,88440) = 710969160

Least Common Multiple (LCM) of 88429 and 88440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88429 and 88440. First we will calculate the prime factors of 88429 and 88440.

Prime Factorization of 88429

Prime Factorization of 88440

Now multiplying the highest exponent prime factors to calculate the LCM of 88429 and 88440.

LCM(88429,88440) = 11¹ × 8039¹ × 2³ × 3¹ × 5¹ × 67¹
LCM(88429,88440) = 710969160