What is the Least Common Multiple of 88416 and 88420?

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 88416 and 88420 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88416 and 88420, than apply into the LCM equation.

GCF(88416,88420) = 4
LCM(88416,88420) = ( 88416 × 88420) / 4
LCM(88416,88420) = 7817742720 / 4
LCM(88416,88420) = 1954435680

Least Common Multiple (LCM) of 88416 and 88420 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88416 and 88420. First we will calculate the prime factors of 88416 and 88420.

Prime Factorization of 88416

Prime Factorization of 88420

Now multiplying the highest exponent prime factors to calculate the LCM of 88416 and 88420.

LCM(88416,88420) = 2⁵ × 3² × 307¹ × 5¹ × 4421¹
LCM(88416,88420) = 1954435680