What is the Least Common Multiple of 36714 and 36723?

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 36714 and 36723 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36714 and 36723, than apply into the LCM equation.

GCF(36714,36723) = 3
LCM(36714,36723) = ( 36714 × 36723) / 3
LCM(36714,36723) = 1348248222 / 3
LCM(36714,36723) = 449416074

Least Common Multiple (LCM) of 36714 and 36723 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36714 and 36723. First we will calculate the prime factors of 36714 and 36723.

Prime Factorization of 36714

Prime Factorization of 36723

Now multiplying the highest exponent prime factors to calculate the LCM of 36714 and 36723.

LCM(36714,36723) = 2¹ × 3¹ × 29¹ × 211¹ × 12241¹
LCM(36714,36723) = 449416074