What is the Least Common Multiple of 36711 and 36720?

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 36711 and 36720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36711 and 36720, than apply into the LCM equation.

GCF(36711,36720) = 9
LCM(36711,36720) = ( 36711 × 36720) / 9
LCM(36711,36720) = 1348027920 / 9
LCM(36711,36720) = 149780880

Least Common Multiple (LCM) of 36711 and 36720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36711 and 36720. First we will calculate the prime factors of 36711 and 36720.

Prime Factorization of 36711

Prime Factorization of 36720

Now multiplying the highest exponent prime factors to calculate the LCM of 36711 and 36720.

LCM(36711,36720) = 3³ × 4079¹ × 2⁴ × 5¹ × 17¹
LCM(36711,36720) = 149780880