What is the Least Common Multiple of 36909 and 36924?

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 36909 and 36924 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36909 and 36924, than apply into the LCM equation.

GCF(36909,36924) = 3
LCM(36909,36924) = ( 36909 × 36924) / 3
LCM(36909,36924) = 1362827916 / 3
LCM(36909,36924) = 454275972

Least Common Multiple (LCM) of 36909 and 36924 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36909 and 36924. First we will calculate the prime factors of 36909 and 36924.

Prime Factorization of 36909

Prime Factorization of 36924

Now multiplying the highest exponent prime factors to calculate the LCM of 36909 and 36924.

LCM(36909,36924) = 3³ × 1367¹ × 2² × 17¹ × 181¹
LCM(36909,36924) = 454275972