What is the Least Common Multiple of 36257 and 36267?

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 36257 and 36267 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36257 and 36267, than apply into the LCM equation.

GCF(36257,36267) = 1
LCM(36257,36267) = ( 36257 × 36267) / 1
LCM(36257,36267) = 1314932619 / 1
LCM(36257,36267) = 1314932619

Least Common Multiple (LCM) of 36257 and 36267 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36257 and 36267. First we will calculate the prime factors of 36257 and 36267.

Prime Factorization of 36257

Prime Factorization of 36267

Now multiplying the highest exponent prime factors to calculate the LCM of 36257 and 36267.

LCM(36257,36267) = 13¹ × 2789¹ × 3¹ × 7¹ × 11¹ × 157¹
LCM(36257,36267) = 1314932619