What is the Least Common Multiple of 84888 and 84900?

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 84888 and 84900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84888 and 84900, than apply into the LCM equation.

GCF(84888,84900) = 12
LCM(84888,84900) = ( 84888 × 84900) / 12
LCM(84888,84900) = 7206991200 / 12
LCM(84888,84900) = 600582600

Least Common Multiple (LCM) of 84888 and 84900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84888 and 84900. First we will calculate the prime factors of 84888 and 84900.

Prime Factorization of 84888

Prime Factorization of 84900

Now multiplying the highest exponent prime factors to calculate the LCM of 84888 and 84900.

LCM(84888,84900) = 2³ × 3⁴ × 131¹ × 5² × 283¹
LCM(84888,84900) = 600582600