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What is the Least Common Multiple of 40862 and 40879?

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 40862 and 40879 is 1670397698.

LCM(40862,40879) = 1670397698

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Least Common Multiple of 40862 and 40879 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40862 and 40879, than apply into the LCM equation.

GCF(40862,40879) = 1
LCM(40862,40879) = ( 40862 × 40879) / 1
LCM(40862,40879) = 1670397698 / 1
LCM(40862,40879) = 1670397698

Least Common Multiple (LCM) of 40862 and 40879 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40862 and 40879. First we will calculate the prime factors of 40862 and 40879.

Prime Factorization of 40862

Prime factors of 40862 are 2, 20431. Prime factorization of 40862 in exponential form is:

40862 = 21 × 204311

Prime Factorization of 40879

Prime factors of 40879 are 40879. Prime factorization of 40879 in exponential form is:

40879 = 408791

Now multiplying the highest exponent prime factors to calculate the LCM of 40862 and 40879.

LCM(40862,40879) = 21 × 204311 × 408791
LCM(40862,40879) = 1670397698