What is the Least Common Multiple of 29724 and 29740?

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 29724 and 29740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29724 and 29740, than apply into the LCM equation.

GCF(29724,29740) = 4
LCM(29724,29740) = ( 29724 × 29740) / 4
LCM(29724,29740) = 883991760 / 4
LCM(29724,29740) = 220997940

Least Common Multiple (LCM) of 29724 and 29740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29724 and 29740. First we will calculate the prime factors of 29724 and 29740.

Prime Factorization of 29724

Prime Factorization of 29740

Now multiplying the highest exponent prime factors to calculate the LCM of 29724 and 29740.

LCM(29724,29740) = 2² × 3¹ × 2477¹ × 5¹ × 1487¹
LCM(29724,29740) = 220997940