What is the Least Common Multiple of 26085 and 26100?

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 26085 and 26100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26085 and 26100, than apply into the LCM equation.

GCF(26085,26100) = 15
LCM(26085,26100) = ( 26085 × 26100) / 15
LCM(26085,26100) = 680818500 / 15
LCM(26085,26100) = 45387900

Least Common Multiple (LCM) of 26085 and 26100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26085 and 26100. First we will calculate the prime factors of 26085 and 26100.

Prime Factorization of 26085

Prime Factorization of 26100

Now multiplying the highest exponent prime factors to calculate the LCM of 26085 and 26100.

LCM(26085,26100) = 3² × 5² × 37¹ × 47¹ × 2² × 29¹
LCM(26085,26100) = 45387900