What is the Least Common Multiple of 36140 and 36145?

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 36140 and 36145 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36140 and 36145, than apply into the LCM equation.

GCF(36140,36145) = 5
LCM(36140,36145) = ( 36140 × 36145) / 5
LCM(36140,36145) = 1306280300 / 5
LCM(36140,36145) = 261256060

Least Common Multiple (LCM) of 36140 and 36145 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36140 and 36145. First we will calculate the prime factors of 36140 and 36145.

Prime Factorization of 36140

Prime Factorization of 36145

Now multiplying the highest exponent prime factors to calculate the LCM of 36140 and 36145.

LCM(36140,36145) = 2² × 5¹ × 13¹ × 139¹ × 7229¹
LCM(36140,36145) = 261256060