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What is the Least Common Multiple of 60683 and 60694?

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 60683 and 60694 is 3683094002.

LCM(60683,60694) = 3683094002

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Least Common Multiple of 60683 and 60694 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60683 and 60694, than apply into the LCM equation.

GCF(60683,60694) = 1
LCM(60683,60694) = ( 60683 × 60694) / 1
LCM(60683,60694) = 3683094002 / 1
LCM(60683,60694) = 3683094002

Least Common Multiple (LCM) of 60683 and 60694 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60683 and 60694. First we will calculate the prime factors of 60683 and 60694.

Prime Factorization of 60683

Prime factors of 60683 are 7, 8669. Prime factorization of 60683 in exponential form is:

60683 = 71 × 86691

Prime Factorization of 60694

Prime factors of 60694 are 2, 30347. Prime factorization of 60694 in exponential form is:

60694 = 21 × 303471

Now multiplying the highest exponent prime factors to calculate the LCM of 60683 and 60694.

LCM(60683,60694) = 71 × 86691 × 21 × 303471
LCM(60683,60694) = 3683094002