What is the Least Common Multiple of 61100 and 61110?

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 61100 and 61110 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61100 and 61110, than apply into the LCM equation.

GCF(61100,61110) = 10
LCM(61100,61110) = ( 61100 × 61110) / 10
LCM(61100,61110) = 3733821000 / 10
LCM(61100,61110) = 373382100

Least Common Multiple (LCM) of 61100 and 61110 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61100 and 61110. First we will calculate the prime factors of 61100 and 61110.

Prime Factorization of 61100

Prime Factorization of 61110

Now multiplying the highest exponent prime factors to calculate the LCM of 61100 and 61110.

LCM(61100,61110) = 2² × 5² × 13¹ × 47¹ × 3² × 7¹ × 97¹
LCM(61100,61110) = 373382100