What is the Least Common Multiple of 88460 and 88480?

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 88460 and 88480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88460 and 88480, than apply into the LCM equation.

GCF(88460,88480) = 20
LCM(88460,88480) = ( 88460 × 88480) / 20
LCM(88460,88480) = 7826940800 / 20
LCM(88460,88480) = 391347040

Least Common Multiple (LCM) of 88460 and 88480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88460 and 88480. First we will calculate the prime factors of 88460 and 88480.

Prime Factorization of 88460

Prime Factorization of 88480

Now multiplying the highest exponent prime factors to calculate the LCM of 88460 and 88480.

LCM(88460,88480) = 2⁵ × 5¹ × 4423¹ × 7¹ × 79¹
LCM(88460,88480) = 391347040