What is the Least Common Multiple of 36151 and 36169?

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 36151 and 36169 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36151 and 36169, than apply into the LCM equation.

GCF(36151,36169) = 1
LCM(36151,36169) = ( 36151 × 36169) / 1
LCM(36151,36169) = 1307545519 / 1
LCM(36151,36169) = 1307545519

Least Common Multiple (LCM) of 36151 and 36169 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36151 and 36169. First we will calculate the prime factors of 36151 and 36169.

Prime Factorization of 36151

Prime Factorization of 36169

Now multiplying the highest exponent prime factors to calculate the LCM of 36151 and 36169.

LCM(36151,36169) = 36151¹ × 7¹ × 5167¹
LCM(36151,36169) = 1307545519