GCF and LCM Calculator Logo

What is the Least Common Multiple of 65126 and 65144?

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 65126 and 65144 is 2121284072.

LCM(65126,65144) = 2121284072

LCM Calculator and
and

Least Common Multiple of 65126 and 65144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65126 and 65144, than apply into the LCM equation.

GCF(65126,65144) = 2
LCM(65126,65144) = ( 65126 × 65144) / 2
LCM(65126,65144) = 4242568144 / 2
LCM(65126,65144) = 2121284072

Least Common Multiple (LCM) of 65126 and 65144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65126 and 65144. First we will calculate the prime factors of 65126 and 65144.

Prime Factorization of 65126

Prime factors of 65126 are 2, 32563. Prime factorization of 65126 in exponential form is:

65126 = 21 × 325631

Prime Factorization of 65144

Prime factors of 65144 are 2, 17, 479. Prime factorization of 65144 in exponential form is:

65144 = 23 × 171 × 4791

Now multiplying the highest exponent prime factors to calculate the LCM of 65126 and 65144.

LCM(65126,65144) = 23 × 325631 × 171 × 4791
LCM(65126,65144) = 2121284072