What is the Least Common Multiple of 81546 and 81561?

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 81546 and 81561 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81546 and 81561, than apply into the LCM equation.

GCF(81546,81561) = 3
LCM(81546,81561) = ( 81546 × 81561) / 3
LCM(81546,81561) = 6650973306 / 3
LCM(81546,81561) = 2216991102

Least Common Multiple (LCM) of 81546 and 81561 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81546 and 81561. First we will calculate the prime factors of 81546 and 81561.

Prime Factorization of 81546

Prime Factorization of 81561

Now multiplying the highest exponent prime factors to calculate the LCM of 81546 and 81561.

LCM(81546,81561) = 2¹ × 3¹ × 13591¹ × 31¹ × 877¹
LCM(81546,81561) = 2216991102