What is the Least Common Multiple of 81555 and 81565?

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 81555 and 81565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81555 and 81565, than apply into the LCM equation.

GCF(81555,81565) = 5
LCM(81555,81565) = ( 81555 × 81565) / 5
LCM(81555,81565) = 6652033575 / 5
LCM(81555,81565) = 1330406715

Least Common Multiple (LCM) of 81555 and 81565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81555 and 81565. First we will calculate the prime factors of 81555 and 81565.

Prime Factorization of 81555

Prime Factorization of 81565

Now multiplying the highest exponent prime factors to calculate the LCM of 81555 and 81565.

LCM(81555,81565) = 3¹ × 5¹ × 5437¹ × 11¹ × 1483¹
LCM(81555,81565) = 1330406715