What is the Least Common Multiple of 89320 and 89330?

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 89320 and 89330 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89320 and 89330, than apply into the LCM equation.

GCF(89320,89330) = 10
LCM(89320,89330) = ( 89320 × 89330) / 10
LCM(89320,89330) = 7978955600 / 10
LCM(89320,89330) = 797895560

Least Common Multiple (LCM) of 89320 and 89330 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89320 and 89330. First we will calculate the prime factors of 89320 and 89330.

Prime Factorization of 89320

Prime Factorization of 89330

Now multiplying the highest exponent prime factors to calculate the LCM of 89320 and 89330.

LCM(89320,89330) = 2³ × 5¹ × 7¹ × 11¹ × 29¹ × 8933¹
LCM(89320,89330) = 797895560