What is the Least Common Multiple of 7624 and 7630?

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 7624 and 7630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7624 and 7630, than apply into the LCM equation.

GCF(7624,7630) = 2
LCM(7624,7630) = ( 7624 × 7630) / 2
LCM(7624,7630) = 58171120 / 2
LCM(7624,7630) = 29085560

Least Common Multiple (LCM) of 7624 and 7630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7624 and 7630. First we will calculate the prime factors of 7624 and 7630.

Prime Factorization of 7624

Prime Factorization of 7630

Now multiplying the highest exponent prime factors to calculate the LCM of 7624 and 7630.

LCM(7624,7630) = 2³ × 953¹ × 5¹ × 7¹ × 109¹
LCM(7624,7630) = 29085560