What is the Least Common Multiple of 89772 and 89776?

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 89772 and 89776 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89772 and 89776, than apply into the LCM equation.

GCF(89772,89776) = 4
LCM(89772,89776) = ( 89772 × 89776) / 4
LCM(89772,89776) = 8059371072 / 4
LCM(89772,89776) = 2014842768

Least Common Multiple (LCM) of 89772 and 89776 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89772 and 89776. First we will calculate the prime factors of 89772 and 89776.

Prime Factorization of 89772

Prime Factorization of 89776

Now multiplying the highest exponent prime factors to calculate the LCM of 89772 and 89776.

LCM(89772,89776) = 2⁴ × 3¹ × 7481¹ × 31¹ × 181¹
LCM(89772,89776) = 2014842768