What is the Least Common Multiple of 89724 and 89730?

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 89724 and 89730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89724 and 89730, than apply into the LCM equation.

GCF(89724,89730) = 6
LCM(89724,89730) = ( 89724 × 89730) / 6
LCM(89724,89730) = 8050934520 / 6
LCM(89724,89730) = 1341822420

Least Common Multiple (LCM) of 89724 and 89730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89724 and 89730. First we will calculate the prime factors of 89724 and 89730.

Prime Factorization of 89724

Prime Factorization of 89730

Now multiplying the highest exponent prime factors to calculate the LCM of 89724 and 89730.

LCM(89724,89730) = 2² × 3² × 7477¹ × 5¹ × 997¹
LCM(89724,89730) = 1341822420