What is the Least Common Multiple of 88480 and 88499?

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 88480 and 88499 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88480 and 88499, than apply into the LCM equation.

GCF(88480,88499) = 1
LCM(88480,88499) = ( 88480 × 88499) / 1
LCM(88480,88499) = 7830391520 / 1
LCM(88480,88499) = 7830391520

Least Common Multiple (LCM) of 88480 and 88499 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88480 and 88499. First we will calculate the prime factors of 88480 and 88499.

Prime Factorization of 88480

Prime Factorization of 88499

Now multiplying the highest exponent prime factors to calculate the LCM of 88480 and 88499.

LCM(88480,88499) = 2⁵ × 5¹ × 7¹ × 79¹ × 88499¹
LCM(88480,88499) = 7830391520