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What is the Least Common Multiple of 62851 and 62868?

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 62851 and 62868 is 3951316668.

LCM(62851,62868) = 3951316668

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Least Common Multiple of 62851 and 62868 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62851 and 62868, than apply into the LCM equation.

GCF(62851,62868) = 1
LCM(62851,62868) = ( 62851 × 62868) / 1
LCM(62851,62868) = 3951316668 / 1
LCM(62851,62868) = 3951316668

Least Common Multiple (LCM) of 62851 and 62868 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62851 and 62868. First we will calculate the prime factors of 62851 and 62868.

Prime Factorization of 62851

Prime factors of 62851 are 62851. Prime factorization of 62851 in exponential form is:

62851 = 628511

Prime Factorization of 62868

Prime factors of 62868 are 2, 3, 13, 31. Prime factorization of 62868 in exponential form is:

62868 = 22 × 31 × 132 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 62851 and 62868.

LCM(62851,62868) = 628511 × 22 × 31 × 132 × 311
LCM(62851,62868) = 3951316668