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What is the Least Common Multiple of 40318 and 40325?

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 40318 and 40325 is 1625823350.

LCM(40318,40325) = 1625823350

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Least Common Multiple of 40318 and 40325 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40318 and 40325, than apply into the LCM equation.

GCF(40318,40325) = 1
LCM(40318,40325) = ( 40318 × 40325) / 1
LCM(40318,40325) = 1625823350 / 1
LCM(40318,40325) = 1625823350

Least Common Multiple (LCM) of 40318 and 40325 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40318 and 40325. First we will calculate the prime factors of 40318 and 40325.

Prime Factorization of 40318

Prime factors of 40318 are 2, 19, 1061. Prime factorization of 40318 in exponential form is:

40318 = 21 × 191 × 10611

Prime Factorization of 40325

Prime factors of 40325 are 5, 1613. Prime factorization of 40325 in exponential form is:

40325 = 52 × 16131

Now multiplying the highest exponent prime factors to calculate the LCM of 40318 and 40325.

LCM(40318,40325) = 21 × 191 × 10611 × 52 × 16131
LCM(40318,40325) = 1625823350