What is the Least Common Multiple of 77100 and 77110?

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 77110 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 77110, than apply into the LCM equation.

GCF(77100,77110) = 10
LCM(77100,77110) = ( 77100 × 77110) / 10
LCM(77100,77110) = 5945181000 / 10
LCM(77100,77110) = 594518100

Least Common Multiple (LCM) of 77100 and 77110 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77100 and 77110. First we will calculate the prime factors of 77100 and 77110.

Prime Factorization of 77100

Prime Factorization of 77110

Now multiplying the highest exponent prime factors to calculate the LCM of 77100 and 77110.

LCM(77100,77110) = 2² × 3¹ × 5² × 257¹ × 11¹ × 701¹
LCM(77100,77110) = 594518100