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What is the Least Common Multiple of 60794 and 60806?

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 60794 and 60806 is 1848319982.

LCM(60794,60806) = 1848319982

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Least Common Multiple of 60794 and 60806 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60794 and 60806, than apply into the LCM equation.

GCF(60794,60806) = 2
LCM(60794,60806) = ( 60794 × 60806) / 2
LCM(60794,60806) = 3696639964 / 2
LCM(60794,60806) = 1848319982

Least Common Multiple (LCM) of 60794 and 60806 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60794 and 60806. First we will calculate the prime factors of 60794 and 60806.

Prime Factorization of 60794

Prime factors of 60794 are 2, 113, 269. Prime factorization of 60794 in exponential form is:

60794 = 21 × 1131 × 2691

Prime Factorization of 60806

Prime factors of 60806 are 2, 30403. Prime factorization of 60806 in exponential form is:

60806 = 21 × 304031

Now multiplying the highest exponent prime factors to calculate the LCM of 60794 and 60806.

LCM(60794,60806) = 21 × 1131 × 2691 × 304031
LCM(60794,60806) = 1848319982