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What is the Least Common Multiple of 62831 and 62842?

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 62831 and 62842 is 3948425702.

LCM(62831,62842) = 3948425702

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Least Common Multiple of 62831 and 62842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62831 and 62842, than apply into the LCM equation.

GCF(62831,62842) = 1
LCM(62831,62842) = ( 62831 × 62842) / 1
LCM(62831,62842) = 3948425702 / 1
LCM(62831,62842) = 3948425702

Least Common Multiple (LCM) of 62831 and 62842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62831 and 62842. First we will calculate the prime factors of 62831 and 62842.

Prime Factorization of 62831

Prime factors of 62831 are 83, 757. Prime factorization of 62831 in exponential form is:

62831 = 831 × 7571

Prime Factorization of 62842

Prime factors of 62842 are 2, 13, 2417. Prime factorization of 62842 in exponential form is:

62842 = 21 × 131 × 24171

Now multiplying the highest exponent prime factors to calculate the LCM of 62831 and 62842.

LCM(62831,62842) = 831 × 7571 × 21 × 131 × 24171
LCM(62831,62842) = 3948425702