What is the Least Common Multiple of 89730 and 89748?

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 89730 and 89748 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89730 and 89748, than apply into the LCM equation.

GCF(89730,89748) = 18
LCM(89730,89748) = ( 89730 × 89748) / 18
LCM(89730,89748) = 8053088040 / 18
LCM(89730,89748) = 447393780

Least Common Multiple (LCM) of 89730 and 89748 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89730 and 89748. First we will calculate the prime factors of 89730 and 89748.

Prime Factorization of 89730

Prime Factorization of 89748

Now multiplying the highest exponent prime factors to calculate the LCM of 89730 and 89748.

LCM(89730,89748) = 2² × 3⁴ × 5¹ × 997¹ × 277¹
LCM(89730,89748) = 447393780