GCF and LCM Calculator Logo

What is the Least Common Multiple of 4251 and 4258?

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 4258 is 18100758.

LCM(4251,4258) = 18100758

LCM Calculator and
and

Least Common Multiple of 4251 and 4258 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 4258, than apply into the LCM equation.

GCF(4251,4258) = 1
LCM(4251,4258) = ( 4251 × 4258) / 1
LCM(4251,4258) = 18100758 / 1
LCM(4251,4258) = 18100758

Least Common Multiple (LCM) of 4251 and 4258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4251 and 4258. First we will calculate the prime factors of 4251 and 4258.

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 4258

Prime factors of 4258 are 2, 2129. Prime factorization of 4258 in exponential form is:

4258 = 21 × 21291

Now multiplying the highest exponent prime factors to calculate the LCM of 4251 and 4258.

LCM(4251,4258) = 31 × 131 × 1091 × 21 × 21291
LCM(4251,4258) = 18100758