What is the Least Common Multiple of 37609 and 37624?

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 37609 and 37624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37609 and 37624, than apply into the LCM equation.

GCF(37609,37624) = 1
LCM(37609,37624) = ( 37609 × 37624) / 1
LCM(37609,37624) = 1415001016 / 1
LCM(37609,37624) = 1415001016

Least Common Multiple (LCM) of 37609 and 37624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37609 and 37624. First we will calculate the prime factors of 37609 and 37624.

Prime Factorization of 37609

Prime Factorization of 37624

Now multiplying the highest exponent prime factors to calculate the LCM of 37609 and 37624.

LCM(37609,37624) = 11¹ × 13¹ × 263¹ × 2³ × 4703¹
LCM(37609,37624) = 1415001016