What is the Least Common Multiple of 26200 and 26210?

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 26200 and 26210 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26200 and 26210, than apply into the LCM equation.

GCF(26200,26210) = 10
LCM(26200,26210) = ( 26200 × 26210) / 10
LCM(26200,26210) = 686702000 / 10
LCM(26200,26210) = 68670200

Least Common Multiple (LCM) of 26200 and 26210 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26200 and 26210. First we will calculate the prime factors of 26200 and 26210.

Prime Factorization of 26200

Prime Factorization of 26210

Now multiplying the highest exponent prime factors to calculate the LCM of 26200 and 26210.

LCM(26200,26210) = 2³ × 5² × 131¹ × 2621¹
LCM(26200,26210) = 68670200