GCF and LCM Calculator Logo

What is the Least Common Multiple of 2229 and 2246?

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 2229 and 2246 is 5006334.

LCM(2229,2246) = 5006334

LCM Calculator and
and

Least Common Multiple of 2229 and 2246 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2229 and 2246, than apply into the LCM equation.

GCF(2229,2246) = 1
LCM(2229,2246) = ( 2229 × 2246) / 1
LCM(2229,2246) = 5006334 / 1
LCM(2229,2246) = 5006334

Least Common Multiple (LCM) of 2229 and 2246 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2229 and 2246. First we will calculate the prime factors of 2229 and 2246.

Prime Factorization of 2229

Prime factors of 2229 are 3, 743. Prime factorization of 2229 in exponential form is:

2229 = 31 × 7431

Prime Factorization of 2246

Prime factors of 2246 are 2, 1123. Prime factorization of 2246 in exponential form is:

2246 = 21 × 11231

Now multiplying the highest exponent prime factors to calculate the LCM of 2229 and 2246.

LCM(2229,2246) = 31 × 7431 × 21 × 11231
LCM(2229,2246) = 5006334