What is the Least Common Multiple of 36500 and 36505?

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 36500 and 36505 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36500 and 36505, than apply into the LCM equation.

GCF(36500,36505) = 5
LCM(36500,36505) = ( 36500 × 36505) / 5
LCM(36500,36505) = 1332432500 / 5
LCM(36500,36505) = 266486500

Least Common Multiple (LCM) of 36500 and 36505 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36500 and 36505. First we will calculate the prime factors of 36500 and 36505.

Prime Factorization of 36500

Prime Factorization of 36505

Now multiplying the highest exponent prime factors to calculate the LCM of 36500 and 36505.

LCM(36500,36505) = 2² × 5³ × 73¹ × 7² × 149¹
LCM(36500,36505) = 266486500