What is the Least Common Multiple of 36723 and 36741?

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 36723 and 36741 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36723 and 36741, than apply into the LCM equation.

GCF(36723,36741) = 3
LCM(36723,36741) = ( 36723 × 36741) / 3
LCM(36723,36741) = 1349239743 / 3
LCM(36723,36741) = 449746581

Least Common Multiple (LCM) of 36723 and 36741 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36723 and 36741. First we will calculate the prime factors of 36723 and 36741.

Prime Factorization of 36723

Prime Factorization of 36741

Now multiplying the highest exponent prime factors to calculate the LCM of 36723 and 36741.

LCM(36723,36741) = 3¹ × 12241¹ × 37¹ × 331¹
LCM(36723,36741) = 449746581