GCF and LCM Calculator Logo

What is the Least Common Multiple of 96403 and 96410?

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 96403 and 96410 is 9294213230.

LCM(96403,96410) = 9294213230

LCM Calculator and
and

Least Common Multiple of 96403 and 96410 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96403 and 96410, than apply into the LCM equation.

GCF(96403,96410) = 1
LCM(96403,96410) = ( 96403 × 96410) / 1
LCM(96403,96410) = 9294213230 / 1
LCM(96403,96410) = 9294213230

Least Common Multiple (LCM) of 96403 and 96410 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96403 and 96410. First we will calculate the prime factors of 96403 and 96410.

Prime Factorization of 96403

Prime factors of 96403 are 149, 647. Prime factorization of 96403 in exponential form is:

96403 = 1491 × 6471

Prime Factorization of 96410

Prime factors of 96410 are 2, 5, 31, 311. Prime factorization of 96410 in exponential form is:

96410 = 21 × 51 × 311 × 3111

Now multiplying the highest exponent prime factors to calculate the LCM of 96403 and 96410.

LCM(96403,96410) = 1491 × 6471 × 21 × 51 × 311 × 3111
LCM(96403,96410) = 9294213230