What is the Least Common Multiple of 89772 and 89783?

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 89783 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 89783, than apply into the LCM equation.

GCF(89772,89783) = 1
LCM(89772,89783) = ( 89772 × 89783) / 1
LCM(89772,89783) = 8059999476 / 1
LCM(89772,89783) = 8059999476

Least Common Multiple (LCM) of 89772 and 89783 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89772 and 89783. First we will calculate the prime factors of 89772 and 89783.

Prime Factorization of 89772

Prime Factorization of 89783

Now multiplying the highest exponent prime factors to calculate the LCM of 89772 and 89783.

LCM(89772,89783) = 2² × 3¹ × 7481¹ × 89783¹
LCM(89772,89783) = 8059999476