What is the Least Common Multiple of 47712 and 47718?

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 47712 and 47718 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47712 and 47718, than apply into the LCM equation.

GCF(47712,47718) = 6
LCM(47712,47718) = ( 47712 × 47718) / 6
LCM(47712,47718) = 2276721216 / 6
LCM(47712,47718) = 379453536

Least Common Multiple (LCM) of 47712 and 47718 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47712 and 47718. First we will calculate the prime factors of 47712 and 47718.

Prime Factorization of 47712

Prime Factorization of 47718

Now multiplying the highest exponent prime factors to calculate the LCM of 47712 and 47718.

LCM(47712,47718) = 2⁵ × 3² × 7¹ × 71¹ × 11¹ × 241¹
LCM(47712,47718) = 379453536