What is the Least Common Multiple of 81565 and 81570?

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 81565 and 81570 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81565 and 81570, than apply into the LCM equation.

GCF(81565,81570) = 5
LCM(81565,81570) = ( 81565 × 81570) / 5
LCM(81565,81570) = 6653257050 / 5
LCM(81565,81570) = 1330651410

Least Common Multiple (LCM) of 81565 and 81570 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81565 and 81570. First we will calculate the prime factors of 81565 and 81570.

Prime Factorization of 81565

Prime Factorization of 81570

Now multiplying the highest exponent prime factors to calculate the LCM of 81565 and 81570.

LCM(81565,81570) = 5¹ × 11¹ × 1483¹ × 2¹ × 3¹ × 2719¹
LCM(81565,81570) = 1330651410