GCF and LCM Calculator Logo

What is the Least Common Multiple of 18402 and 18410?

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 18402 and 18410 is 169390410.

LCM(18402,18410) = 169390410

LCM Calculator and
and

Least Common Multiple of 18402 and 18410 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18402 and 18410, than apply into the LCM equation.

GCF(18402,18410) = 2
LCM(18402,18410) = ( 18402 × 18410) / 2
LCM(18402,18410) = 338780820 / 2
LCM(18402,18410) = 169390410

Least Common Multiple (LCM) of 18402 and 18410 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18402 and 18410. First we will calculate the prime factors of 18402 and 18410.

Prime Factorization of 18402

Prime factors of 18402 are 2, 3, 3067. Prime factorization of 18402 in exponential form is:

18402 = 21 × 31 × 30671

Prime Factorization of 18410

Prime factors of 18410 are 2, 5, 7, 263. Prime factorization of 18410 in exponential form is:

18410 = 21 × 51 × 71 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 18402 and 18410.

LCM(18402,18410) = 21 × 31 × 30671 × 51 × 71 × 2631
LCM(18402,18410) = 169390410