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What is the Least Common Multiple of 70477 and 70490?

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 70477 and 70490 is 4967923730.

LCM(70477,70490) = 4967923730

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Least Common Multiple of 70477 and 70490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70477 and 70490, than apply into the LCM equation.

GCF(70477,70490) = 1
LCM(70477,70490) = ( 70477 × 70490) / 1
LCM(70477,70490) = 4967923730 / 1
LCM(70477,70490) = 4967923730

Least Common Multiple (LCM) of 70477 and 70490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70477 and 70490. First we will calculate the prime factors of 70477 and 70490.

Prime Factorization of 70477

Prime factors of 70477 are 11, 43, 149. Prime factorization of 70477 in exponential form is:

70477 = 111 × 431 × 1491

Prime Factorization of 70490

Prime factors of 70490 are 2, 5, 7, 19, 53. Prime factorization of 70490 in exponential form is:

70490 = 21 × 51 × 71 × 191 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 70477 and 70490.

LCM(70477,70490) = 111 × 431 × 1491 × 21 × 51 × 71 × 191 × 531
LCM(70477,70490) = 4967923730