What is the Least Common Multiple of 27278 and 27283?

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 27278 and 27283 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27278 and 27283, than apply into the LCM equation.

GCF(27278,27283) = 1
LCM(27278,27283) = ( 27278 × 27283) / 1
LCM(27278,27283) = 744225674 / 1
LCM(27278,27283) = 744225674

Least Common Multiple (LCM) of 27278 and 27283 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27278 and 27283. First we will calculate the prime factors of 27278 and 27283.

Prime Factorization of 27278

Prime Factorization of 27283

Now multiplying the highest exponent prime factors to calculate the LCM of 27278 and 27283.

LCM(27278,27283) = 2¹ × 23¹ × 593¹ × 27283¹
LCM(27278,27283) = 744225674