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What is the Least Common Multiple of 60827 and 60841?

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 60827 and 60841 is 3700775507.

LCM(60827,60841) = 3700775507

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Least Common Multiple of 60827 and 60841 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60827 and 60841, than apply into the LCM equation.

GCF(60827,60841) = 1
LCM(60827,60841) = ( 60827 × 60841) / 1
LCM(60827,60841) = 3700775507 / 1
LCM(60827,60841) = 3700775507

Least Common Multiple (LCM) of 60827 and 60841 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60827 and 60841. First we will calculate the prime factors of 60827 and 60841.

Prime Factorization of 60827

Prime factors of 60827 are 13, 4679. Prime factorization of 60827 in exponential form is:

60827 = 131 × 46791

Prime Factorization of 60841

Prime factors of 60841 are 11, 5531. Prime factorization of 60841 in exponential form is:

60841 = 111 × 55311

Now multiplying the highest exponent prime factors to calculate the LCM of 60827 and 60841.

LCM(60827,60841) = 131 × 46791 × 111 × 55311
LCM(60827,60841) = 3700775507