GCF and LCM Calculator Logo

What is the Least Common Multiple of 2207 and 2217?

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 2207 and 2217 is 4892919.

LCM(2207,2217) = 4892919

LCM Calculator and
and

Least Common Multiple of 2207 and 2217 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2207 and 2217, than apply into the LCM equation.

GCF(2207,2217) = 1
LCM(2207,2217) = ( 2207 × 2217) / 1
LCM(2207,2217) = 4892919 / 1
LCM(2207,2217) = 4892919

Least Common Multiple (LCM) of 2207 and 2217 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2207 and 2217. First we will calculate the prime factors of 2207 and 2217.

Prime Factorization of 2207

Prime factors of 2207 are 2207. Prime factorization of 2207 in exponential form is:

2207 = 22071

Prime Factorization of 2217

Prime factors of 2217 are 3, 739. Prime factorization of 2217 in exponential form is:

2217 = 31 × 7391

Now multiplying the highest exponent prime factors to calculate the LCM of 2207 and 2217.

LCM(2207,2217) = 22071 × 31 × 7391
LCM(2207,2217) = 4892919