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What is the Least Common Multiple of 40418 and 40425?

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 40418 and 40425 is 233413950.

LCM(40418,40425) = 233413950

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Least Common Multiple of 40418 and 40425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40418 and 40425, than apply into the LCM equation.

GCF(40418,40425) = 7
LCM(40418,40425) = ( 40418 × 40425) / 7
LCM(40418,40425) = 1633897650 / 7
LCM(40418,40425) = 233413950

Least Common Multiple (LCM) of 40418 and 40425 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40418 and 40425. First we will calculate the prime factors of 40418 and 40425.

Prime Factorization of 40418

Prime factors of 40418 are 2, 7, 2887. Prime factorization of 40418 in exponential form is:

40418 = 21 × 71 × 28871

Prime Factorization of 40425

Prime factors of 40425 are 3, 5, 7, 11. Prime factorization of 40425 in exponential form is:

40425 = 31 × 52 × 72 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 40418 and 40425.

LCM(40418,40425) = 21 × 72 × 28871 × 31 × 52 × 111
LCM(40418,40425) = 233413950