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What is the Least Common Multiple of 62467 and 62487?

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 62467 and 62487 is 3903375429.

LCM(62467,62487) = 3903375429

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Least Common Multiple of 62467 and 62487 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62467 and 62487, than apply into the LCM equation.

GCF(62467,62487) = 1
LCM(62467,62487) = ( 62467 × 62487) / 1
LCM(62467,62487) = 3903375429 / 1
LCM(62467,62487) = 3903375429

Least Common Multiple (LCM) of 62467 and 62487 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62467 and 62487. First we will calculate the prime factors of 62467 and 62487.

Prime Factorization of 62467

Prime factors of 62467 are 62467. Prime factorization of 62467 in exponential form is:

62467 = 624671

Prime Factorization of 62487

Prime factors of 62487 are 3, 53, 131. Prime factorization of 62487 in exponential form is:

62487 = 32 × 531 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 62467 and 62487.

LCM(62467,62487) = 624671 × 32 × 531 × 1311
LCM(62467,62487) = 3903375429