What is the Least Common Multiple of 89492 and 89500?

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 89492 and 89500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89492 and 89500, than apply into the LCM equation.

GCF(89492,89500) = 4
LCM(89492,89500) = ( 89492 × 89500) / 4
LCM(89492,89500) = 8009534000 / 4
LCM(89492,89500) = 2002383500

Least Common Multiple (LCM) of 89492 and 89500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89492 and 89500. First we will calculate the prime factors of 89492 and 89500.

Prime Factorization of 89492

Prime Factorization of 89500

Now multiplying the highest exponent prime factors to calculate the LCM of 89492 and 89500.

LCM(89492,89500) = 2² × 13¹ × 1721¹ × 5³ × 179¹
LCM(89492,89500) = 2002383500