GCF and LCM Calculator Logo

What is the Least Common Multiple of 2278 and 2293?

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 (LCM) of 2278 and 2293 is 5223454.

LCM(2278,2293) = 5223454

LCM Calculator and
and

Least Common Multiple of 2278 and 2293 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 2293, than apply into the LCM equation.

GCF(2278,2293) = 1
LCM(2278,2293) = ( 2278 × 2293) / 1
LCM(2278,2293) = 5223454 / 1
LCM(2278,2293) = 5223454

Least Common Multiple (LCM) of 2278 and 2293 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2278 and 2293. First we will calculate the prime factors of 2278 and 2293.

Prime Factorization of 2278

Prime factors of 2278 are 2, 17, 67. Prime factorization of 2278 in exponential form is:

2278 = 21 × 171 × 671

Prime Factorization of 2293

Prime factors of 2293 are 2293. Prime factorization of 2293 in exponential form is:

2293 = 22931

Now multiplying the highest exponent prime factors to calculate the LCM of 2278 and 2293.

LCM(2278,2293) = 21 × 171 × 671 × 22931
LCM(2278,2293) = 5223454