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What is the Least Common Multiple of 60685 and 60691?

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 60685 and 60691 is 3683033335.

LCM(60685,60691) = 3683033335

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Least Common Multiple of 60685 and 60691 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60685 and 60691, than apply into the LCM equation.

GCF(60685,60691) = 1
LCM(60685,60691) = ( 60685 × 60691) / 1
LCM(60685,60691) = 3683033335 / 1
LCM(60685,60691) = 3683033335

Least Common Multiple (LCM) of 60685 and 60691 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60685 and 60691. First we will calculate the prime factors of 60685 and 60691.

Prime Factorization of 60685

Prime factors of 60685 are 5, 53, 229. Prime factorization of 60685 in exponential form is:

60685 = 51 × 531 × 2291

Prime Factorization of 60691

Prime factors of 60691 are 137, 443. Prime factorization of 60691 in exponential form is:

60691 = 1371 × 4431

Now multiplying the highest exponent prime factors to calculate the LCM of 60685 and 60691.

LCM(60685,60691) = 51 × 531 × 2291 × 1371 × 4431
LCM(60685,60691) = 3683033335