GCF and LCM Calculator Logo

What is the Least Common Multiple of 25102 and 25114?

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 25102 and 25114 is 315205814.

LCM(25102,25114) = 315205814

LCM Calculator and
and

Least Common Multiple of 25102 and 25114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25102 and 25114, than apply into the LCM equation.

GCF(25102,25114) = 2
LCM(25102,25114) = ( 25102 × 25114) / 2
LCM(25102,25114) = 630411628 / 2
LCM(25102,25114) = 315205814

Least Common Multiple (LCM) of 25102 and 25114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25102 and 25114. First we will calculate the prime factors of 25102 and 25114.

Prime Factorization of 25102

Prime factors of 25102 are 2, 7, 11, 163. Prime factorization of 25102 in exponential form is:

25102 = 21 × 71 × 111 × 1631

Prime Factorization of 25114

Prime factors of 25114 are 2, 29, 433. Prime factorization of 25114 in exponential form is:

25114 = 21 × 291 × 4331

Now multiplying the highest exponent prime factors to calculate the LCM of 25102 and 25114.

LCM(25102,25114) = 21 × 71 × 111 × 1631 × 291 × 4331
LCM(25102,25114) = 315205814