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What is the Least Common Multiple of 62811 and 62830?

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 62811 and 62830 is 3946415130.

LCM(62811,62830) = 3946415130

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Least Common Multiple of 62811 and 62830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62811 and 62830, than apply into the LCM equation.

GCF(62811,62830) = 1
LCM(62811,62830) = ( 62811 × 62830) / 1
LCM(62811,62830) = 3946415130 / 1
LCM(62811,62830) = 3946415130

Least Common Multiple (LCM) of 62811 and 62830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62811 and 62830. First we will calculate the prime factors of 62811 and 62830.

Prime Factorization of 62811

Prime factors of 62811 are 3, 7, 997. Prime factorization of 62811 in exponential form is:

62811 = 32 × 71 × 9971

Prime Factorization of 62830

Prime factors of 62830 are 2, 5, 61, 103. Prime factorization of 62830 in exponential form is:

62830 = 21 × 51 × 611 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 62811 and 62830.

LCM(62811,62830) = 32 × 71 × 9971 × 21 × 51 × 611 × 1031
LCM(62811,62830) = 3946415130