What is the Least Common Multiple of 26100 and 26110?

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 26100 and 26110 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26100 and 26110, than apply into the LCM equation.

GCF(26100,26110) = 10
LCM(26100,26110) = ( 26100 × 26110) / 10
LCM(26100,26110) = 681471000 / 10
LCM(26100,26110) = 68147100

Least Common Multiple (LCM) of 26100 and 26110 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26100 and 26110. First we will calculate the prime factors of 26100 and 26110.

Prime Factorization of 26100

Prime Factorization of 26110

Now multiplying the highest exponent prime factors to calculate the LCM of 26100 and 26110.

LCM(26100,26110) = 2² × 3² × 5² × 29¹ × 7¹ × 373¹
LCM(26100,26110) = 68147100