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What is the Least Common Multiple of 40310 and 40322?

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 40310 and 40322 is 812689910.

LCM(40310,40322) = 812689910

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Least Common Multiple of 40310 and 40322 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40310 and 40322, than apply into the LCM equation.

GCF(40310,40322) = 2
LCM(40310,40322) = ( 40310 × 40322) / 2
LCM(40310,40322) = 1625379820 / 2
LCM(40310,40322) = 812689910

Least Common Multiple (LCM) of 40310 and 40322 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40310 and 40322. First we will calculate the prime factors of 40310 and 40322.

Prime Factorization of 40310

Prime factors of 40310 are 2, 5, 29, 139. Prime factorization of 40310 in exponential form is:

40310 = 21 × 51 × 291 × 1391

Prime Factorization of 40322

Prime factors of 40322 are 2, 20161. Prime factorization of 40322 in exponential form is:

40322 = 21 × 201611

Now multiplying the highest exponent prime factors to calculate the LCM of 40310 and 40322.

LCM(40310,40322) = 21 × 51 × 291 × 1391 × 201611
LCM(40310,40322) = 812689910