What is the Least Common Multiple of 36147 and 36167?

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 36147 and 36167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36147 and 36167, than apply into the LCM equation.

GCF(36147,36167) = 1
LCM(36147,36167) = ( 36147 × 36167) / 1
LCM(36147,36167) = 1307328549 / 1
LCM(36147,36167) = 1307328549

Least Common Multiple (LCM) of 36147 and 36167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36147 and 36167. First we will calculate the prime factors of 36147 and 36167.

Prime Factorization of 36147

Prime Factorization of 36167

Now multiplying the highest exponent prime factors to calculate the LCM of 36147 and 36167.

LCM(36147,36167) = 3¹ × 12049¹ × 59¹ × 613¹
LCM(36147,36167) = 1307328549