What is the Least Common Multiple of 2278 and 2297?

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 2278 and 2297 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2278 and 2297, than apply into the LCM equation.

GCF(2278,2297) = 1
LCM(2278,2297) = ( 2278 × 2297) / 1
LCM(2278,2297) = 5232566 / 1
LCM(2278,2297) = 5232566

Least Common Multiple (LCM) of 2278 and 2297 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2278 and 2297. First we will calculate the prime factors of 2278 and 2297.

Prime Factorization of 2278

Prime Factorization of 2297

Now multiplying the highest exponent prime factors to calculate the LCM of 2278 and 2297.

LCM(2278,2297) = 2¹ × 17¹ × 67¹ × 2297¹
LCM(2278,2297) = 5232566