What is the Least Common Multiple of 36556 and 36571?

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 36556 and 36571 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36556 and 36571, than apply into the LCM equation.

GCF(36556,36571) = 1
LCM(36556,36571) = ( 36556 × 36571) / 1
LCM(36556,36571) = 1336889476 / 1
LCM(36556,36571) = 1336889476

Least Common Multiple (LCM) of 36556 and 36571 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36556 and 36571. First we will calculate the prime factors of 36556 and 36571.

Prime Factorization of 36556

Prime Factorization of 36571

Now multiplying the highest exponent prime factors to calculate the LCM of 36556 and 36571.

LCM(36556,36571) = 2² × 13¹ × 19¹ × 37¹ × 36571¹
LCM(36556,36571) = 1336889476