What is the Least Common Multiple of 36260 and 36265?

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 36260 and 36265 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36260 and 36265, than apply into the LCM equation.

GCF(36260,36265) = 5
LCM(36260,36265) = ( 36260 × 36265) / 5
LCM(36260,36265) = 1314968900 / 5
LCM(36260,36265) = 262993780

Least Common Multiple (LCM) of 36260 and 36265 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36260 and 36265. First we will calculate the prime factors of 36260 and 36265.

Prime Factorization of 36260

Prime Factorization of 36265

Now multiplying the highest exponent prime factors to calculate the LCM of 36260 and 36265.

LCM(36260,36265) = 2² × 5¹ × 7² × 37¹ × 7253¹
LCM(36260,36265) = 262993780