What is the Least Common Multiple of 36123 and 36131?

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 36123 and 36131 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36123 and 36131, than apply into the LCM equation.

GCF(36123,36131) = 1
LCM(36123,36131) = ( 36123 × 36131) / 1
LCM(36123,36131) = 1305160113 / 1
LCM(36123,36131) = 1305160113

Least Common Multiple (LCM) of 36123 and 36131 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36123 and 36131. First we will calculate the prime factors of 36123 and 36131.

Prime Factorization of 36123

Prime Factorization of 36131

Now multiplying the highest exponent prime factors to calculate the LCM of 36123 and 36131.

LCM(36123,36131) = 3¹ × 12041¹ × 36131¹
LCM(36123,36131) = 1305160113