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What is the Least Common Multiple of 60833 and 60838?

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 60833 and 60838 is 3700958054.

LCM(60833,60838) = 3700958054

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Least Common Multiple of 60833 and 60838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60833 and 60838, than apply into the LCM equation.

GCF(60833,60838) = 1
LCM(60833,60838) = ( 60833 × 60838) / 1
LCM(60833,60838) = 3700958054 / 1
LCM(60833,60838) = 3700958054

Least Common Multiple (LCM) of 60833 and 60838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60833 and 60838. First we will calculate the prime factors of 60833 and 60838.

Prime Factorization of 60833

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

60833 = 1271 × 4791

Prime Factorization of 60838

Prime factors of 60838 are 2, 19, 1601. Prime factorization of 60838 in exponential form is:

60838 = 21 × 191 × 16011

Now multiplying the highest exponent prime factors to calculate the LCM of 60833 and 60838.

LCM(60833,60838) = 1271 × 4791 × 21 × 191 × 16011
LCM(60833,60838) = 3700958054