What is the Least Common Multiple of 81200 and 81210?

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 81200 and 81210 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81200 and 81210, than apply into the LCM equation.

GCF(81200,81210) = 10
LCM(81200,81210) = ( 81200 × 81210) / 10
LCM(81200,81210) = 6594252000 / 10
LCM(81200,81210) = 659425200

Least Common Multiple (LCM) of 81200 and 81210 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81200 and 81210. First we will calculate the prime factors of 81200 and 81210.

Prime Factorization of 81200

Prime Factorization of 81210

Now multiplying the highest exponent prime factors to calculate the LCM of 81200 and 81210.

LCM(81200,81210) = 2⁴ × 5² × 7¹ × 29¹ × 3¹ × 2707¹
LCM(81200,81210) = 659425200