What is the Least Common Multiple of 81364 and 81370?

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 81364 and 81370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81364 and 81370, than apply into the LCM equation.

GCF(81364,81370) = 2
LCM(81364,81370) = ( 81364 × 81370) / 2
LCM(81364,81370) = 6620588680 / 2
LCM(81364,81370) = 3310294340

Least Common Multiple (LCM) of 81364 and 81370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81364 and 81370. First we will calculate the prime factors of 81364 and 81370.

Prime Factorization of 81364

Prime Factorization of 81370

Now multiplying the highest exponent prime factors to calculate the LCM of 81364 and 81370.

LCM(81364,81370) = 2² × 20341¹ × 5¹ × 79¹ × 103¹
LCM(81364,81370) = 3310294340