GCF and LCM Calculator Logo

What is the Least Common Multiple of 4251 and 4261?

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 4251 and 4261 is 18113511.

LCM(4251,4261) = 18113511

LCM Calculator and
and

Least Common Multiple of 4251 and 4261 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4251 and 4261, than apply into the LCM equation.

GCF(4251,4261) = 1
LCM(4251,4261) = ( 4251 × 4261) / 1
LCM(4251,4261) = 18113511 / 1
LCM(4251,4261) = 18113511

Least Common Multiple (LCM) of 4251 and 4261 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4251 and 4261. First we will calculate the prime factors of 4251 and 4261.

Prime Factorization of 4251

Prime factors of 4251 are 3, 13, 109. Prime factorization of 4251 in exponential form is:

4251 = 31 × 131 × 1091

Prime Factorization of 4261

Prime factors of 4261 are 4261. Prime factorization of 4261 in exponential form is:

4261 = 42611

Now multiplying the highest exponent prime factors to calculate the LCM of 4251 and 4261.

LCM(4251,4261) = 31 × 131 × 1091 × 42611
LCM(4251,4261) = 18113511