What is the Least Common Multiple of 81545 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 81545 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 81545 and 81561, than apply into the LCM equation.

GCF(81545,81561) = 1
LCM(81545,81561) = ( 81545 × 81561) / 1
LCM(81545,81561) = 6650891745 / 1
LCM(81545,81561) = 6650891745

Least Common Multiple (LCM) of 81545 and 81561 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81545 and 81561. First we will calculate the prime factors of 81545 and 81561.

Prime Factorization of 81545

Prime Factorization of 81561

Now multiplying the highest exponent prime factors to calculate the LCM of 81545 and 81561.

LCM(81545,81561) = 5¹ × 47¹ × 347¹ × 3¹ × 31¹ × 877¹
LCM(81545,81561) = 6650891745