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What is the Least Common Multiple of 61391 and 61399?

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 61391 and 61399 is 3769346009.

LCM(61391,61399) = 3769346009

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Least Common Multiple of 61391 and 61399 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61391 and 61399, than apply into the LCM equation.

GCF(61391,61399) = 1
LCM(61391,61399) = ( 61391 × 61399) / 1
LCM(61391,61399) = 3769346009 / 1
LCM(61391,61399) = 3769346009

Least Common Multiple (LCM) of 61391 and 61399 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61391 and 61399. First we will calculate the prime factors of 61391 and 61399.

Prime Factorization of 61391

Prime factors of 61391 are 11, 5581. Prime factorization of 61391 in exponential form is:

61391 = 111 × 55811

Prime Factorization of 61399

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

61399 = 131 × 47231

Now multiplying the highest exponent prime factors to calculate the LCM of 61391 and 61399.

LCM(61391,61399) = 111 × 55811 × 131 × 47231
LCM(61391,61399) = 3769346009