What is the Least Common Multiple of 36305 and 36310?

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 36305 and 36310 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36305 and 36310, than apply into the LCM equation.

GCF(36305,36310) = 5
LCM(36305,36310) = ( 36305 × 36310) / 5
LCM(36305,36310) = 1318234550 / 5
LCM(36305,36310) = 263646910

Least Common Multiple (LCM) of 36305 and 36310 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36305 and 36310. First we will calculate the prime factors of 36305 and 36310.

Prime Factorization of 36305

Prime Factorization of 36310

Now multiplying the highest exponent prime factors to calculate the LCM of 36305 and 36310.

LCM(36305,36310) = 5¹ × 53¹ × 137¹ × 2¹ × 3631¹
LCM(36305,36310) = 263646910