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What is the Least Common Multiple of 62837 and 62853?

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 62837 and 62853 is 3949493961.

LCM(62837,62853) = 3949493961

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Least Common Multiple of 62837 and 62853 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62837 and 62853, than apply into the LCM equation.

GCF(62837,62853) = 1
LCM(62837,62853) = ( 62837 × 62853) / 1
LCM(62837,62853) = 3949493961 / 1
LCM(62837,62853) = 3949493961

Least Common Multiple (LCM) of 62837 and 62853 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62837 and 62853. First we will calculate the prime factors of 62837 and 62853.

Prime Factorization of 62837

Prime factors of 62837 are 31, 2027. Prime factorization of 62837 in exponential form is:

62837 = 311 × 20271

Prime Factorization of 62853

Prime factors of 62853 are 3, 7, 41, 73. Prime factorization of 62853 in exponential form is:

62853 = 31 × 71 × 411 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 62837 and 62853.

LCM(62837,62853) = 311 × 20271 × 31 × 71 × 411 × 731
LCM(62837,62853) = 3949493961