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What is the Least Common Multiple of 82426 and 82444?

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 82426 and 82444 is 3397764572.

LCM(82426,82444) = 3397764572

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Least Common Multiple of 82426 and 82444 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82426 and 82444, than apply into the LCM equation.

GCF(82426,82444) = 2
LCM(82426,82444) = ( 82426 × 82444) / 2
LCM(82426,82444) = 6795529144 / 2
LCM(82426,82444) = 3397764572

Least Common Multiple (LCM) of 82426 and 82444 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82426 and 82444. First we will calculate the prime factors of 82426 and 82444.

Prime Factorization of 82426

Prime factors of 82426 are 2, 41213. Prime factorization of 82426 in exponential form is:

82426 = 21 × 412131

Prime Factorization of 82444

Prime factors of 82444 are 2, 20611. Prime factorization of 82444 in exponential form is:

82444 = 22 × 206111

Now multiplying the highest exponent prime factors to calculate the LCM of 82426 and 82444.

LCM(82426,82444) = 22 × 412131 × 206111
LCM(82426,82444) = 3397764572