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What is the Least Common Multiple of 62458 and 62473?

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 62458 and 62473 is 3901938634.

LCM(62458,62473) = 3901938634

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Least Common Multiple of 62458 and 62473 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62458 and 62473, than apply into the LCM equation.

GCF(62458,62473) = 1
LCM(62458,62473) = ( 62458 × 62473) / 1
LCM(62458,62473) = 3901938634 / 1
LCM(62458,62473) = 3901938634

Least Common Multiple (LCM) of 62458 and 62473 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62458 and 62473. First we will calculate the prime factors of 62458 and 62473.

Prime Factorization of 62458

Prime factors of 62458 are 2, 11, 17, 167. Prime factorization of 62458 in exponential form is:

62458 = 21 × 111 × 171 × 1671

Prime Factorization of 62473

Prime factors of 62473 are 62473. Prime factorization of 62473 in exponential form is:

62473 = 624731

Now multiplying the highest exponent prime factors to calculate the LCM of 62458 and 62473.

LCM(62458,62473) = 21 × 111 × 171 × 1671 × 624731
LCM(62458,62473) = 3901938634