What is the Least Common Multiple of 88480 and 88496?

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 88496 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 88496, than apply into the LCM equation.

GCF(88480,88496) = 16
LCM(88480,88496) = ( 88480 × 88496) / 16
LCM(88480,88496) = 7830126080 / 16
LCM(88480,88496) = 489382880

Least Common Multiple (LCM) of 88480 and 88496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88480 and 88496. First we will calculate the prime factors of 88480 and 88496.

Prime Factorization of 88480

Prime Factorization of 88496

Now multiplying the highest exponent prime factors to calculate the LCM of 88480 and 88496.

LCM(88480,88496) = 2⁵ × 5¹ × 7¹ × 79¹ × 5531¹
LCM(88480,88496) = 489382880