What is the Least Common Multiple of 27267 and 27286?

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 27267 and 27286 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27267 and 27286, than apply into the LCM equation.

GCF(27267,27286) = 1
LCM(27267,27286) = ( 27267 × 27286) / 1
LCM(27267,27286) = 744007362 / 1
LCM(27267,27286) = 744007362

Least Common Multiple (LCM) of 27267 and 27286 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27267 and 27286. First we will calculate the prime factors of 27267 and 27286.

Prime Factorization of 27267

Prime Factorization of 27286

Now multiplying the highest exponent prime factors to calculate the LCM of 27267 and 27286.

LCM(27267,27286) = 3¹ × 61¹ × 149¹ × 2¹ × 7¹ × 1949¹
LCM(27267,27286) = 744007362