What is the Least Common Multiple of 89350 and 89357?

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 89350 and 89357 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89350 and 89357, than apply into the LCM equation.

GCF(89350,89357) = 1
LCM(89350,89357) = ( 89350 × 89357) / 1
LCM(89350,89357) = 7984047950 / 1
LCM(89350,89357) = 7984047950

Least Common Multiple (LCM) of 89350 and 89357 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89350 and 89357. First we will calculate the prime factors of 89350 and 89357.

Prime Factorization of 89350

Prime Factorization of 89357

Now multiplying the highest exponent prime factors to calculate the LCM of 89350 and 89357.

LCM(89350,89357) = 2¹ × 5² × 1787¹ × 19¹ × 4703¹
LCM(89350,89357) = 7984047950