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What is the Least Common Multiple of 62467 and 62474?

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 62474 is 3902563358.

LCM(62467,62474) = 3902563358

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Least Common Multiple of 62467 and 62474 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 62474, than apply into the LCM equation.

GCF(62467,62474) = 1
LCM(62467,62474) = ( 62467 × 62474) / 1
LCM(62467,62474) = 3902563358 / 1
LCM(62467,62474) = 3902563358

Least Common Multiple (LCM) of 62467 and 62474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62467 and 62474. First we will calculate the prime factors of 62467 and 62474.

Prime Factorization of 62467

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

62467 = 624671

Prime Factorization of 62474

Prime factors of 62474 are 2, 31237. Prime factorization of 62474 in exponential form is:

62474 = 21 × 312371

Now multiplying the highest exponent prime factors to calculate the LCM of 62467 and 62474.

LCM(62467,62474) = 624671 × 21 × 312371
LCM(62467,62474) = 3902563358