What is the Least Common Multiple of 88440 and 88459?

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 88459 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 88459, than apply into the LCM equation.

GCF(88440,88459) = 1
LCM(88440,88459) = ( 88440 × 88459) / 1
LCM(88440,88459) = 7823313960 / 1
LCM(88440,88459) = 7823313960

Least Common Multiple (LCM) of 88440 and 88459 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88440 and 88459. First we will calculate the prime factors of 88440 and 88459.

Prime Factorization of 88440

Prime Factorization of 88459

Now multiplying the highest exponent prime factors to calculate the LCM of 88440 and 88459.

LCM(88440,88459) = 2³ × 3¹ × 5¹ × 11¹ × 67¹ × 7¹ × 12637¹
LCM(88440,88459) = 7823313960