What is the Least Common Multiple of 29624 and 29630?

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 29624 and 29630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29624 and 29630, than apply into the LCM equation.

GCF(29624,29630) = 2
LCM(29624,29630) = ( 29624 × 29630) / 2
LCM(29624,29630) = 877759120 / 2
LCM(29624,29630) = 438879560

Least Common Multiple (LCM) of 29624 and 29630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29624 and 29630. First we will calculate the prime factors of 29624 and 29630.

Prime Factorization of 29624

Prime Factorization of 29630

Now multiplying the highest exponent prime factors to calculate the LCM of 29624 and 29630.

LCM(29624,29630) = 2³ × 7¹ × 23² × 5¹ × 2963¹
LCM(29624,29630) = 438879560