What is the Least Common Multiple of 36258 and 36263?

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 36258 and 36263 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36258 and 36263, than apply into the LCM equation.

GCF(36258,36263) = 1
LCM(36258,36263) = ( 36258 × 36263) / 1
LCM(36258,36263) = 1314823854 / 1
LCM(36258,36263) = 1314823854

Least Common Multiple (LCM) of 36258 and 36263 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36258 and 36263. First we will calculate the prime factors of 36258 and 36263.

Prime Factorization of 36258

Prime Factorization of 36263

Now multiplying the highest exponent prime factors to calculate the LCM of 36258 and 36263.

LCM(36258,36263) = 2¹ × 3¹ × 6043¹ × 36263¹
LCM(36258,36263) = 1314823854