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What is the Least Common Multiple of 62041 and 62046?

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 62041 and 62046 is 3849395886.

LCM(62041,62046) = 3849395886

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Least Common Multiple of 62041 and 62046 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62041 and 62046, than apply into the LCM equation.

GCF(62041,62046) = 1
LCM(62041,62046) = ( 62041 × 62046) / 1
LCM(62041,62046) = 3849395886 / 1
LCM(62041,62046) = 3849395886

Least Common Multiple (LCM) of 62041 and 62046 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62041 and 62046. First we will calculate the prime factors of 62041 and 62046.

Prime Factorization of 62041

Prime factors of 62041 are 7, 8863. Prime factorization of 62041 in exponential form is:

62041 = 71 × 88631

Prime Factorization of 62046

Prime factors of 62046 are 2, 3, 383. Prime factorization of 62046 in exponential form is:

62046 = 21 × 34 × 3831

Now multiplying the highest exponent prime factors to calculate the LCM of 62041 and 62046.

LCM(62041,62046) = 71 × 88631 × 21 × 34 × 3831
LCM(62041,62046) = 3849395886