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What is the Least Common Multiple of 83051 and 83063?

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 83051 and 83063 is 6898465213.

LCM(83051,83063) = 6898465213

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Least Common Multiple of 83051 and 83063 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83051 and 83063, than apply into the LCM equation.

GCF(83051,83063) = 1
LCM(83051,83063) = ( 83051 × 83063) / 1
LCM(83051,83063) = 6898465213 / 1
LCM(83051,83063) = 6898465213

Least Common Multiple (LCM) of 83051 and 83063 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83051 and 83063. First we will calculate the prime factors of 83051 and 83063.

Prime Factorization of 83051

Prime factors of 83051 are 53, 1567. Prime factorization of 83051 in exponential form is:

83051 = 531 × 15671

Prime Factorization of 83063

Prime factors of 83063 are 83063. Prime factorization of 83063 in exponential form is:

83063 = 830631

Now multiplying the highest exponent prime factors to calculate the LCM of 83051 and 83063.

LCM(83051,83063) = 531 × 15671 × 830631
LCM(83051,83063) = 6898465213