What is the Least Common Multiple of 89745 and 89750?

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 89750 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 89750, than apply into the LCM equation.

GCF(89745,89750) = 5
LCM(89745,89750) = ( 89745 × 89750) / 5
LCM(89745,89750) = 8054613750 / 5
LCM(89745,89750) = 1610922750

Least Common Multiple (LCM) of 89745 and 89750 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89745 and 89750. First we will calculate the prime factors of 89745 and 89750.

Prime Factorization of 89745

Prime Factorization of 89750

Now multiplying the highest exponent prime factors to calculate the LCM of 89745 and 89750.

LCM(89745,89750) = 3¹ × 5³ × 31¹ × 193¹ × 2¹ × 359¹
LCM(89745,89750) = 1610922750