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What is the Least Common Multiple of 60829 and 60845?

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 60829 and 60845 is 3701140505.

LCM(60829,60845) = 3701140505

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Least Common Multiple of 60829 and 60845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60829 and 60845, than apply into the LCM equation.

GCF(60829,60845) = 1
LCM(60829,60845) = ( 60829 × 60845) / 1
LCM(60829,60845) = 3701140505 / 1
LCM(60829,60845) = 3701140505

Least Common Multiple (LCM) of 60829 and 60845 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60829 and 60845. First we will calculate the prime factors of 60829 and 60845.

Prime Factorization of 60829

Prime factors of 60829 are 59, 1031. Prime factorization of 60829 in exponential form is:

60829 = 591 × 10311

Prime Factorization of 60845

Prime factors of 60845 are 5, 43, 283. Prime factorization of 60845 in exponential form is:

60845 = 51 × 431 × 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 60829 and 60845.

LCM(60829,60845) = 591 × 10311 × 51 × 431 × 2831
LCM(60829,60845) = 3701140505