What is the Least Common Multiple of 89776 and 89780?

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 89776 and 89780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89776 and 89780, than apply into the LCM equation.

GCF(89776,89780) = 4
LCM(89776,89780) = ( 89776 × 89780) / 4
LCM(89776,89780) = 8060089280 / 4
LCM(89776,89780) = 2015022320

Least Common Multiple (LCM) of 89776 and 89780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89776 and 89780. First we will calculate the prime factors of 89776 and 89780.

Prime Factorization of 89776

Prime Factorization of 89780

Now multiplying the highest exponent prime factors to calculate the LCM of 89776 and 89780.

LCM(89776,89780) = 2⁴ × 31¹ × 181¹ × 5¹ × 67²
LCM(89776,89780) = 2015022320