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What is the Least Common Multiple of 62824 and 62837?

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 62824 and 62837 is 3947671688.

LCM(62824,62837) = 3947671688

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Least Common Multiple of 62824 and 62837 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62824 and 62837, than apply into the LCM equation.

GCF(62824,62837) = 1
LCM(62824,62837) = ( 62824 × 62837) / 1
LCM(62824,62837) = 3947671688 / 1
LCM(62824,62837) = 3947671688

Least Common Multiple (LCM) of 62824 and 62837 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62824 and 62837. First we will calculate the prime factors of 62824 and 62837.

Prime Factorization of 62824

Prime factors of 62824 are 2, 7853. Prime factorization of 62824 in exponential form is:

62824 = 23 × 78531

Prime Factorization of 62837

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

62837 = 311 × 20271

Now multiplying the highest exponent prime factors to calculate the LCM of 62824 and 62837.

LCM(62824,62837) = 23 × 78531 × 311 × 20271
LCM(62824,62837) = 3947671688