What is the Least Common Multiple of 36104 and 36117?

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 36104 and 36117 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36104 and 36117, than apply into the LCM equation.

GCF(36104,36117) = 1
LCM(36104,36117) = ( 36104 × 36117) / 1
LCM(36104,36117) = 1303968168 / 1
LCM(36104,36117) = 1303968168

Least Common Multiple (LCM) of 36104 and 36117 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36104 and 36117. First we will calculate the prime factors of 36104 and 36117.

Prime Factorization of 36104

Prime Factorization of 36117

Now multiplying the highest exponent prime factors to calculate the LCM of 36104 and 36117.

LCM(36104,36117) = 2³ × 4513¹ × 3² × 4013¹
LCM(36104,36117) = 1303968168