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What is the Least Common Multiple of 60833 and 60846?

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 60846 is 3701444718.

LCM(60833,60846) = 3701444718

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Least Common Multiple of 60833 and 60846 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 60846, than apply into the LCM equation.

GCF(60833,60846) = 1
LCM(60833,60846) = ( 60833 × 60846) / 1
LCM(60833,60846) = 3701444718 / 1
LCM(60833,60846) = 3701444718

Least Common Multiple (LCM) of 60833 and 60846 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60833 and 60846. First we will calculate the prime factors of 60833 and 60846.

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 60846

Prime factors of 60846 are 2, 3, 10141. Prime factorization of 60846 in exponential form is:

60846 = 21 × 31 × 101411

Now multiplying the highest exponent prime factors to calculate the LCM of 60833 and 60846.

LCM(60833,60846) = 1271 × 4791 × 21 × 31 × 101411
LCM(60833,60846) = 3701444718