GCF and LCM Calculator Logo

What is the Least Common Multiple of 4268 and 4284?

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 4268 and 4284 is 4571028.

LCM(4268,4284) = 4571028

LCM Calculator and
and

Least Common Multiple of 4268 and 4284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4268 and 4284, than apply into the LCM equation.

GCF(4268,4284) = 4
LCM(4268,4284) = ( 4268 × 4284) / 4
LCM(4268,4284) = 18284112 / 4
LCM(4268,4284) = 4571028

Least Common Multiple (LCM) of 4268 and 4284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4268 and 4284. First we will calculate the prime factors of 4268 and 4284.

Prime Factorization of 4268

Prime factors of 4268 are 2, 11, 97. Prime factorization of 4268 in exponential form is:

4268 = 22 × 111 × 971

Prime Factorization of 4284

Prime factors of 4284 are 2, 3, 7, 17. Prime factorization of 4284 in exponential form is:

4284 = 22 × 32 × 71 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 4268 and 4284.

LCM(4268,4284) = 22 × 111 × 971 × 32 × 71 × 171
LCM(4268,4284) = 4571028