GCF and LCM Calculator Logo

What is the Least Common Multiple of 10124 and 10132?

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 10124 and 10132 is 25644092.

LCM(10124,10132) = 25644092

LCM Calculator and
and

Least Common Multiple of 10124 and 10132 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10124 and 10132, than apply into the LCM equation.

GCF(10124,10132) = 4
LCM(10124,10132) = ( 10124 × 10132) / 4
LCM(10124,10132) = 102576368 / 4
LCM(10124,10132) = 25644092

Least Common Multiple (LCM) of 10124 and 10132 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10124 and 10132. First we will calculate the prime factors of 10124 and 10132.

Prime Factorization of 10124

Prime factors of 10124 are 2, 2531. Prime factorization of 10124 in exponential form is:

10124 = 22 × 25311

Prime Factorization of 10132

Prime factors of 10132 are 2, 17, 149. Prime factorization of 10132 in exponential form is:

10132 = 22 × 171 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 10124 and 10132.

LCM(10124,10132) = 22 × 25311 × 171 × 1491
LCM(10124,10132) = 25644092