What is the Least Common Multiple of 47619 and 47632?

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 47619 and 47632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47619 and 47632, than apply into the LCM equation.

GCF(47619,47632) = 13
LCM(47619,47632) = ( 47619 × 47632) / 13
LCM(47619,47632) = 2268188208 / 13
LCM(47619,47632) = 174476016

Least Common Multiple (LCM) of 47619 and 47632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47619 and 47632. First we will calculate the prime factors of 47619 and 47632.

Prime Factorization of 47619

Prime Factorization of 47632

Now multiplying the highest exponent prime factors to calculate the LCM of 47619 and 47632.

LCM(47619,47632) = 3² × 11¹ × 13¹ × 37¹ × 2⁴ × 229¹
LCM(47619,47632) = 174476016