What is the Least Common Multiple of 47624 and 47637?

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 47624 and 47637 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47624 and 47637, than apply into the LCM equation.

GCF(47624,47637) = 1
LCM(47624,47637) = ( 47624 × 47637) / 1
LCM(47624,47637) = 2268664488 / 1
LCM(47624,47637) = 2268664488

Least Common Multiple (LCM) of 47624 and 47637 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47624 and 47637. First we will calculate the prime factors of 47624 and 47637.

Prime Factorization of 47624

Prime Factorization of 47637

Now multiplying the highest exponent prime factors to calculate the LCM of 47624 and 47637.

LCM(47624,47637) = 2³ × 5953¹ × 3² × 67¹ × 79¹
LCM(47624,47637) = 2268664488