What is the Least Common Multiple of 36558 and 36577?

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 36558 and 36577 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36558 and 36577, than apply into the LCM equation.

GCF(36558,36577) = 1
LCM(36558,36577) = ( 36558 × 36577) / 1
LCM(36558,36577) = 1337181966 / 1
LCM(36558,36577) = 1337181966

Least Common Multiple (LCM) of 36558 and 36577 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36558 and 36577. First we will calculate the prime factors of 36558 and 36577.

Prime Factorization of 36558

Prime Factorization of 36577

Now multiplying the highest exponent prime factors to calculate the LCM of 36558 and 36577.

LCM(36558,36577) = 2¹ × 3³ × 677¹ × 79¹ × 463¹
LCM(36558,36577) = 1337181966