What is the Least Common Multiple of 77088 and 77100?

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 77088 and 77100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77088 and 77100, than apply into the LCM equation.

GCF(77088,77100) = 12
LCM(77088,77100) = ( 77088 × 77100) / 12
LCM(77088,77100) = 5943484800 / 12
LCM(77088,77100) = 495290400

Least Common Multiple (LCM) of 77088 and 77100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77088 and 77100. First we will calculate the prime factors of 77088 and 77100.

Prime Factorization of 77088

Prime Factorization of 77100

Now multiplying the highest exponent prime factors to calculate the LCM of 77088 and 77100.

LCM(77088,77100) = 2⁵ × 3¹ × 11¹ × 73¹ × 5² × 257¹
LCM(77088,77100) = 495290400