What is the Least Common Multiple of 29724 and 29730?

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 29730 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 29730, than apply into the LCM equation.

GCF(29724,29730) = 6
LCM(29724,29730) = ( 29724 × 29730) / 6
LCM(29724,29730) = 883694520 / 6
LCM(29724,29730) = 147282420

Least Common Multiple (LCM) of 29724 and 29730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29724 and 29730. First we will calculate the prime factors of 29724 and 29730.

Prime Factorization of 29724

Prime Factorization of 29730

Now multiplying the highest exponent prime factors to calculate the LCM of 29724 and 29730.

LCM(29724,29730) = 2² × 3¹ × 2477¹ × 5¹ × 991¹
LCM(29724,29730) = 147282420