What is the Least Common Multiple of 36738 and 36747?

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 36738 and 36747 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36738 and 36747, than apply into the LCM equation.

GCF(36738,36747) = 9
LCM(36738,36747) = ( 36738 × 36747) / 9
LCM(36738,36747) = 1350011286 / 9
LCM(36738,36747) = 150001254

Least Common Multiple (LCM) of 36738 and 36747 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36738 and 36747. First we will calculate the prime factors of 36738 and 36747.

Prime Factorization of 36738

Prime Factorization of 36747

Now multiplying the highest exponent prime factors to calculate the LCM of 36738 and 36747.

LCM(36738,36747) = 2¹ × 3³ × 13¹ × 157¹ × 1361¹
LCM(36738,36747) = 150001254