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What is the Least Common Multiple of 60331 and 60335?

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 60331 and 60335 is 3640070885.

LCM(60331,60335) = 3640070885

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Least Common Multiple of 60331 and 60335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60331 and 60335, than apply into the LCM equation.

GCF(60331,60335) = 1
LCM(60331,60335) = ( 60331 × 60335) / 1
LCM(60331,60335) = 3640070885 / 1
LCM(60331,60335) = 3640070885

Least Common Multiple (LCM) of 60331 and 60335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60331 and 60335. First we will calculate the prime factors of 60331 and 60335.

Prime Factorization of 60331

Prime factors of 60331 are 60331. Prime factorization of 60331 in exponential form is:

60331 = 603311

Prime Factorization of 60335

Prime factors of 60335 are 5, 11, 1097. Prime factorization of 60335 in exponential form is:

60335 = 51 × 111 × 10971

Now multiplying the highest exponent prime factors to calculate the LCM of 60331 and 60335.

LCM(60331,60335) = 603311 × 51 × 111 × 10971
LCM(60331,60335) = 3640070885