What is the Least Common Multiple of 88440 and 88458?

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 88440 and 88458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88440 and 88458, than apply into the LCM equation.

GCF(88440,88458) = 6
LCM(88440,88458) = ( 88440 × 88458) / 6
LCM(88440,88458) = 7823225520 / 6
LCM(88440,88458) = 1303870920

Least Common Multiple (LCM) of 88440 and 88458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88440 and 88458. First we will calculate the prime factors of 88440 and 88458.

Prime Factorization of 88440

Prime Factorization of 88458

Now multiplying the highest exponent prime factors to calculate the LCM of 88440 and 88458.

LCM(88440,88458) = 2³ × 3¹ × 5¹ × 11¹ × 67¹ × 23¹ × 641¹
LCM(88440,88458) = 1303870920