What is the Least Common Multiple of 89275 and 89292?

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 89275 and 89292 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89275 and 89292, than apply into the LCM equation.

GCF(89275,89292) = 1
LCM(89275,89292) = ( 89275 × 89292) / 1
LCM(89275,89292) = 7971543300 / 1
LCM(89275,89292) = 7971543300

Least Common Multiple (LCM) of 89275 and 89292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89275 and 89292. First we will calculate the prime factors of 89275 and 89292.

Prime Factorization of 89275

Prime Factorization of 89292

Now multiplying the highest exponent prime factors to calculate the LCM of 89275 and 89292.

LCM(89275,89292) = 5² × 3571¹ × 2² × 3¹ × 7¹ × 1063¹
LCM(89275,89292) = 7971543300