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What is the Least Common Multiple of 61399 and 61403?

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 61399 and 61403 is 3770082797.

LCM(61399,61403) = 3770082797

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Least Common Multiple of 61399 and 61403 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61399 and 61403, than apply into the LCM equation.

GCF(61399,61403) = 1
LCM(61399,61403) = ( 61399 × 61403) / 1
LCM(61399,61403) = 3770082797 / 1
LCM(61399,61403) = 3770082797

Least Common Multiple (LCM) of 61399 and 61403 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61399 and 61403. First we will calculate the prime factors of 61399 and 61403.

Prime Factorization of 61399

Prime factors of 61399 are 13, 4723. Prime factorization of 61399 in exponential form is:

61399 = 131 × 47231

Prime Factorization of 61403

Prime factors of 61403 are 61403. Prime factorization of 61403 in exponential form is:

61403 = 614031

Now multiplying the highest exponent prime factors to calculate the LCM of 61399 and 61403.

LCM(61399,61403) = 131 × 47231 × 614031
LCM(61399,61403) = 3770082797