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What is the Least Common Multiple of 62683 and 62694?

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 62683 and 62694 is 3929848002.

LCM(62683,62694) = 3929848002

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Least Common Multiple of 62683 and 62694 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62683 and 62694, than apply into the LCM equation.

GCF(62683,62694) = 1
LCM(62683,62694) = ( 62683 × 62694) / 1
LCM(62683,62694) = 3929848002 / 1
LCM(62683,62694) = 3929848002

Least Common Multiple (LCM) of 62683 and 62694 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62683 and 62694. First we will calculate the prime factors of 62683 and 62694.

Prime Factorization of 62683

Prime factors of 62683 are 62683. Prime factorization of 62683 in exponential form is:

62683 = 626831

Prime Factorization of 62694

Prime factors of 62694 are 2, 3, 43. Prime factorization of 62694 in exponential form is:

62694 = 21 × 36 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 62683 and 62694.

LCM(62683,62694) = 626831 × 21 × 36 × 431
LCM(62683,62694) = 3929848002