What is the Least Common Multiple of 89000 and 89006?

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 89000 and 89006 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89000 and 89006, than apply into the LCM equation.

GCF(89000,89006) = 2
LCM(89000,89006) = ( 89000 × 89006) / 2
LCM(89000,89006) = 7921534000 / 2
LCM(89000,89006) = 3960767000

Least Common Multiple (LCM) of 89000 and 89006 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89000 and 89006. First we will calculate the prime factors of 89000 and 89006.

Prime Factorization of 89000

Prime Factorization of 89006

Now multiplying the highest exponent prime factors to calculate the LCM of 89000 and 89006.

LCM(89000,89006) = 2³ × 5³ × 89¹ × 191¹ × 233¹
LCM(89000,89006) = 3960767000