What is the Least Common Multiple of 36135 and 36155?

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 36155 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 36155, than apply into the LCM equation.

GCF(36135,36155) = 5
LCM(36135,36155) = ( 36135 × 36155) / 5
LCM(36135,36155) = 1306460925 / 5
LCM(36135,36155) = 261292185

Least Common Multiple (LCM) of 36135 and 36155 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36135 and 36155. First we will calculate the prime factors of 36135 and 36155.

Prime Factorization of 36135

Prime Factorization of 36155

Now multiplying the highest exponent prime factors to calculate the LCM of 36135 and 36155.

LCM(36135,36155) = 3² × 5¹ × 11¹ × 73¹ × 7¹ × 1033¹
LCM(36135,36155) = 261292185