GCF and LCM Calculator Logo

What is the Least Common Multiple of 4266 and 4279?

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 4266 and 4279 is 18254214.

LCM(4266,4279) = 18254214

LCM Calculator and
and

Least Common Multiple of 4266 and 4279 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4266 and 4279, than apply into the LCM equation.

GCF(4266,4279) = 1
LCM(4266,4279) = ( 4266 × 4279) / 1
LCM(4266,4279) = 18254214 / 1
LCM(4266,4279) = 18254214

Least Common Multiple (LCM) of 4266 and 4279 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4266 and 4279. First we will calculate the prime factors of 4266 and 4279.

Prime Factorization of 4266

Prime factors of 4266 are 2, 3, 79. Prime factorization of 4266 in exponential form is:

4266 = 21 × 33 × 791

Prime Factorization of 4279

Prime factors of 4279 are 11, 389. Prime factorization of 4279 in exponential form is:

4279 = 111 × 3891

Now multiplying the highest exponent prime factors to calculate the LCM of 4266 and 4279.

LCM(4266,4279) = 21 × 33 × 791 × 111 × 3891
LCM(4266,4279) = 18254214