What is the Least Common Multiple of 36720 and 36729?

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 36720 and 36729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36720 and 36729, than apply into the LCM equation.

GCF(36720,36729) = 9
LCM(36720,36729) = ( 36720 × 36729) / 9
LCM(36720,36729) = 1348688880 / 9
LCM(36720,36729) = 149854320

Least Common Multiple (LCM) of 36720 and 36729 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36720 and 36729. First we will calculate the prime factors of 36720 and 36729.

Prime Factorization of 36720

Prime Factorization of 36729

Now multiplying the highest exponent prime factors to calculate the LCM of 36720 and 36729.

LCM(36720,36729) = 2⁴ × 3³ × 5¹ × 17¹ × 7¹ × 11¹ × 53¹
LCM(36720,36729) = 149854320