What is the Least Common Multiple of 88480 and 88484?

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 88484 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 88484, than apply into the LCM equation.

GCF(88480,88484) = 4
LCM(88480,88484) = ( 88480 × 88484) / 4
LCM(88480,88484) = 7829064320 / 4
LCM(88480,88484) = 1957266080

Least Common Multiple (LCM) of 88480 and 88484 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88480 and 88484. First we will calculate the prime factors of 88480 and 88484.

Prime Factorization of 88480

Prime Factorization of 88484

Now multiplying the highest exponent prime factors to calculate the LCM of 88480 and 88484.

LCM(88480,88484) = 2⁵ × 5¹ × 7¹ × 79¹ × 11¹ × 2011¹
LCM(88480,88484) = 1957266080