What is the Least Common Multiple of 88980 and 89000?

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 88980 and 89000 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88980 and 89000, than apply into the LCM equation.

GCF(88980,89000) = 20
LCM(88980,89000) = ( 88980 × 89000) / 20
LCM(88980,89000) = 7919220000 / 20
LCM(88980,89000) = 395961000

Least Common Multiple (LCM) of 88980 and 89000 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88980 and 89000. First we will calculate the prime factors of 88980 and 89000.

Prime Factorization of 88980

Prime Factorization of 89000

Now multiplying the highest exponent prime factors to calculate the LCM of 88980 and 89000.

LCM(88980,89000) = 2³ × 3¹ × 5³ × 1483¹ × 89¹
LCM(88980,89000) = 395961000