What is the Least Common Multiple of 88500 and 88506?

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 88500 and 88506 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88500 and 88506, than apply into the LCM equation.

GCF(88500,88506) = 6
LCM(88500,88506) = ( 88500 × 88506) / 6
LCM(88500,88506) = 7832781000 / 6
LCM(88500,88506) = 1305463500

Least Common Multiple (LCM) of 88500 and 88506 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88500 and 88506. First we will calculate the prime factors of 88500 and 88506.

Prime Factorization of 88500

Prime Factorization of 88506

Now multiplying the highest exponent prime factors to calculate the LCM of 88500 and 88506.

LCM(88500,88506) = 2² × 3³ × 5³ × 59¹ × 11¹ × 149¹
LCM(88500,88506) = 1305463500