GCF and LCM Calculator Logo

What is the Least Common Multiple of 25142 and 25148?

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 25142 and 25148 is 316135508.

LCM(25142,25148) = 316135508

LCM Calculator and
and

Least Common Multiple of 25142 and 25148 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25142 and 25148, than apply into the LCM equation.

GCF(25142,25148) = 2
LCM(25142,25148) = ( 25142 × 25148) / 2
LCM(25142,25148) = 632271016 / 2
LCM(25142,25148) = 316135508

Least Common Multiple (LCM) of 25142 and 25148 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25142 and 25148. First we will calculate the prime factors of 25142 and 25148.

Prime Factorization of 25142

Prime factors of 25142 are 2, 13, 967. Prime factorization of 25142 in exponential form is:

25142 = 21 × 131 × 9671

Prime Factorization of 25148

Prime factors of 25148 are 2, 6287. Prime factorization of 25148 in exponential form is:

25148 = 22 × 62871

Now multiplying the highest exponent prime factors to calculate the LCM of 25142 and 25148.

LCM(25142,25148) = 22 × 131 × 9671 × 62871
LCM(25142,25148) = 316135508