What is the Least Common Multiple of 77100 and 77104?

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 77104 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 77104, than apply into the LCM equation.

GCF(77100,77104) = 4
LCM(77100,77104) = ( 77100 × 77104) / 4
LCM(77100,77104) = 5944718400 / 4
LCM(77100,77104) = 1486179600

Least Common Multiple (LCM) of 77100 and 77104 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77100 and 77104. First we will calculate the prime factors of 77100 and 77104.

Prime Factorization of 77100

Prime Factorization of 77104

Now multiplying the highest exponent prime factors to calculate the LCM of 77100 and 77104.

LCM(77100,77104) = 2⁴ × 3¹ × 5² × 257¹ × 61¹ × 79¹
LCM(77100,77104) = 1486179600