What is the Least Common Multiple of 36309 and 36316?

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 36316 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 36316, than apply into the LCM equation.

GCF(36309,36316) = 7
LCM(36309,36316) = ( 36309 × 36316) / 7
LCM(36309,36316) = 1318597644 / 7
LCM(36309,36316) = 188371092

Least Common Multiple (LCM) of 36309 and 36316 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36309 and 36316. First we will calculate the prime factors of 36309 and 36316.

Prime Factorization of 36309

Prime Factorization of 36316

Now multiplying the highest exponent prime factors to calculate the LCM of 36309 and 36316.

LCM(36309,36316) = 3¹ × 7² × 13¹ × 19¹ × 2² × 1297¹
LCM(36309,36316) = 188371092