What is the Least Common Multiple of 36640 and 36655?

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 36640 and 36655 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36640 and 36655, than apply into the LCM equation.

GCF(36640,36655) = 5
LCM(36640,36655) = ( 36640 × 36655) / 5
LCM(36640,36655) = 1343039200 / 5
LCM(36640,36655) = 268607840

Least Common Multiple (LCM) of 36640 and 36655 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36640 and 36655. First we will calculate the prime factors of 36640 and 36655.

Prime Factorization of 36640

Prime Factorization of 36655

Now multiplying the highest exponent prime factors to calculate the LCM of 36640 and 36655.

LCM(36640,36655) = 2⁵ × 5¹ × 229¹ × 7331¹
LCM(36640,36655) = 268607840