What is the Least Common Multiple of 89745 and 89751?

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 89745 and 89751 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89745 and 89751, than apply into the LCM equation.

GCF(89745,89751) = 3
LCM(89745,89751) = ( 89745 × 89751) / 3
LCM(89745,89751) = 8054703495 / 3
LCM(89745,89751) = 2684901165

Least Common Multiple (LCM) of 89745 and 89751 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89745 and 89751. First we will calculate the prime factors of 89745 and 89751.

Prime Factorization of 89745

Prime Factorization of 89751

Now multiplying the highest exponent prime factors to calculate the LCM of 89745 and 89751.

LCM(89745,89751) = 3¹ × 5¹ × 31¹ × 193¹ × 29917¹
LCM(89745,89751) = 2684901165