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What is the Least Common Multiple of 62407 and 62426?

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 62407 and 62426 is 3895819382.

LCM(62407,62426) = 3895819382

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Least Common Multiple of 62407 and 62426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62407 and 62426, than apply into the LCM equation.

GCF(62407,62426) = 1
LCM(62407,62426) = ( 62407 × 62426) / 1
LCM(62407,62426) = 3895819382 / 1
LCM(62407,62426) = 3895819382

Least Common Multiple (LCM) of 62407 and 62426 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62407 and 62426. First we will calculate the prime factors of 62407 and 62426.

Prime Factorization of 62407

Prime factors of 62407 are 17, 3671. Prime factorization of 62407 in exponential form is:

62407 = 171 × 36711

Prime Factorization of 62426

Prime factors of 62426 are 2, 7, 13. Prime factorization of 62426 in exponential form is:

62426 = 21 × 74 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 62407 and 62426.

LCM(62407,62426) = 171 × 36711 × 21 × 74 × 131
LCM(62407,62426) = 3895819382