What is the Least Common Multiple of 89259 and 89274?

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 89259 and 89274 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89259 and 89274, than apply into the LCM equation.

GCF(89259,89274) = 3
LCM(89259,89274) = ( 89259 × 89274) / 3
LCM(89259,89274) = 7968507966 / 3
LCM(89259,89274) = 2656169322

Least Common Multiple (LCM) of 89259 and 89274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89259 and 89274. First we will calculate the prime factors of 89259 and 89274.

Prime Factorization of 89259

Prime Factorization of 89274

Now multiplying the highest exponent prime factors to calculate the LCM of 89259 and 89274.

LCM(89259,89274) = 3¹ × 29753¹ × 2¹ × 14879¹
LCM(89259,89274) = 2656169322