What is the Least Common Multiple of 36702 and 36717?

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 36702 and 36717 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36702 and 36717, than apply into the LCM equation.

GCF(36702,36717) = 3
LCM(36702,36717) = ( 36702 × 36717) / 3
LCM(36702,36717) = 1347587334 / 3
LCM(36702,36717) = 449195778

Least Common Multiple (LCM) of 36702 and 36717 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36702 and 36717. First we will calculate the prime factors of 36702 and 36717.

Prime Factorization of 36702

Prime Factorization of 36717

Now multiplying the highest exponent prime factors to calculate the LCM of 36702 and 36717.

LCM(36702,36717) = 2¹ × 3² × 2039¹ × 12239¹
LCM(36702,36717) = 449195778