What is the Least Common Multiple of 77100 and 77118?

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 77100 and 77118 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77100 and 77118, than apply into the LCM equation.

GCF(77100,77118) = 6
LCM(77100,77118) = ( 77100 × 77118) / 6
LCM(77100,77118) = 5945797800 / 6
LCM(77100,77118) = 990966300

Least Common Multiple (LCM) of 77100 and 77118 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77100 and 77118. First we will calculate the prime factors of 77100 and 77118.

Prime Factorization of 77100

Prime Factorization of 77118

Now multiplying the highest exponent prime factors to calculate the LCM of 77100 and 77118.

LCM(77100,77118) = 2² × 3¹ × 5² × 257¹ × 12853¹
LCM(77100,77118) = 990966300