What is the Least Common Multiple of 37624 and 37630?

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 37624 and 37630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37624 and 37630, than apply into the LCM equation.

GCF(37624,37630) = 2
LCM(37624,37630) = ( 37624 × 37630) / 2
LCM(37624,37630) = 1415791120 / 2
LCM(37624,37630) = 707895560

Least Common Multiple (LCM) of 37624 and 37630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37624 and 37630. First we will calculate the prime factors of 37624 and 37630.

Prime Factorization of 37624

Prime Factorization of 37630

Now multiplying the highest exponent prime factors to calculate the LCM of 37624 and 37630.

LCM(37624,37630) = 2³ × 4703¹ × 5¹ × 53¹ × 71¹
LCM(37624,37630) = 707895560