What is the Least Common Multiple of 36141 and 36148?

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 36141 and 36148 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36141 and 36148, than apply into the LCM equation.

GCF(36141,36148) = 7
LCM(36141,36148) = ( 36141 × 36148) / 7
LCM(36141,36148) = 1306424868 / 7
LCM(36141,36148) = 186632124

Least Common Multiple (LCM) of 36141 and 36148 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36141 and 36148. First we will calculate the prime factors of 36141 and 36148.

Prime Factorization of 36141

Prime Factorization of 36148

Now multiplying the highest exponent prime factors to calculate the LCM of 36141 and 36148.

LCM(36141,36148) = 3¹ × 7¹ × 1721¹ × 2² × 1291¹
LCM(36141,36148) = 186632124