What is the Least Common Multiple of 36309 and 36318?

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 36309 and 36318 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36309 and 36318, than apply into the LCM equation.

GCF(36309,36318) = 3
LCM(36309,36318) = ( 36309 × 36318) / 3
LCM(36309,36318) = 1318670262 / 3
LCM(36309,36318) = 439556754

Least Common Multiple (LCM) of 36309 and 36318 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36309 and 36318. First we will calculate the prime factors of 36309 and 36318.

Prime Factorization of 36309

Prime Factorization of 36318

Now multiplying the highest exponent prime factors to calculate the LCM of 36309 and 36318.

LCM(36309,36318) = 3¹ × 7² × 13¹ × 19¹ × 2¹ × 6053¹
LCM(36309,36318) = 439556754