What is the Least Common Multiple of 94416 and 94420?

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 94416 and 94420 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94416 and 94420, than apply into the LCM equation.

GCF(94416,94420) = 4
LCM(94416,94420) = ( 94416 × 94420) / 4
LCM(94416,94420) = 8914758720 / 4
LCM(94416,94420) = 2228689680

Least Common Multiple (LCM) of 94416 and 94420 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94416 and 94420. First we will calculate the prime factors of 94416 and 94420.

Prime Factorization of 94416

Prime Factorization of 94420

Now multiplying the highest exponent prime factors to calculate the LCM of 94416 and 94420.

LCM(94416,94420) = 2⁴ × 3¹ × 7¹ × 281¹ × 5¹ × 4721¹
LCM(94416,94420) = 2228689680