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What is the Least Common Multiple of 60827 and 60833?

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 60833 is 3700288891.

LCM(60827,60833) = 3700288891

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Least Common Multiple of 60827 and 60833 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 60833, than apply into the LCM equation.

GCF(60827,60833) = 1
LCM(60827,60833) = ( 60827 × 60833) / 1
LCM(60827,60833) = 3700288891 / 1
LCM(60827,60833) = 3700288891

Least Common Multiple (LCM) of 60827 and 60833 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60827 and 60833. First we will calculate the prime factors of 60827 and 60833.

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 60833

Prime factors of 60833 are 127, 479. Prime factorization of 60833 in exponential form is:

60833 = 1271 × 4791

Now multiplying the highest exponent prime factors to calculate the LCM of 60827 and 60833.

LCM(60827,60833) = 131 × 46791 × 1271 × 4791
LCM(60827,60833) = 3700288891