What is the Least Common Multiple of 36170 and 36189?

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 36170 and 36189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36170 and 36189, than apply into the LCM equation.

GCF(36170,36189) = 1
LCM(36170,36189) = ( 36170 × 36189) / 1
LCM(36170,36189) = 1308956130 / 1
LCM(36170,36189) = 1308956130

Least Common Multiple (LCM) of 36170 and 36189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36170 and 36189. First we will calculate the prime factors of 36170 and 36189.

Prime Factorization of 36170

Prime Factorization of 36189

Now multiplying the highest exponent prime factors to calculate the LCM of 36170 and 36189.

LCM(36170,36189) = 2¹ × 5¹ × 3617¹ × 3² × 4021¹
LCM(36170,36189) = 1308956130