What is the Least Common Multiple of 36505 and 36515?

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 36505 and 36515 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36505 and 36515, than apply into the LCM equation.

GCF(36505,36515) = 5
LCM(36505,36515) = ( 36505 × 36515) / 5
LCM(36505,36515) = 1332980075 / 5
LCM(36505,36515) = 266596015

Least Common Multiple (LCM) of 36505 and 36515 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36505 and 36515. First we will calculate the prime factors of 36505 and 36515.

Prime Factorization of 36505

Prime Factorization of 36515

Now multiplying the highest exponent prime factors to calculate the LCM of 36505 and 36515.

LCM(36505,36515) = 5¹ × 7² × 149¹ × 67¹ × 109¹
LCM(36505,36515) = 266596015