What is the Least Common Multiple of 36135 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 36135 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 36135 and 36148, than apply into the LCM equation.

GCF(36135,36148) = 1
LCM(36135,36148) = ( 36135 × 36148) / 1
LCM(36135,36148) = 1306207980 / 1
LCM(36135,36148) = 1306207980

Least Common Multiple (LCM) of 36135 and 36148 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36135 and 36148. First we will calculate the prime factors of 36135 and 36148.

Prime Factorization of 36135

Prime Factorization of 36148

Now multiplying the highest exponent prime factors to calculate the LCM of 36135 and 36148.

LCM(36135,36148) = 3² × 5¹ × 11¹ × 73¹ × 2² × 7¹ × 1291¹
LCM(36135,36148) = 1306207980