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What is the Least Common Multiple of 67999 and 68013?

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 67999 and 68013 is 4624815987.

LCM(67999,68013) = 4624815987

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Least Common Multiple of 67999 and 68013 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67999 and 68013, than apply into the LCM equation.

GCF(67999,68013) = 1
LCM(67999,68013) = ( 67999 × 68013) / 1
LCM(67999,68013) = 4624815987 / 1
LCM(67999,68013) = 4624815987

Least Common Multiple (LCM) of 67999 and 68013 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67999 and 68013. First we will calculate the prime factors of 67999 and 68013.

Prime Factorization of 67999

Prime factors of 67999 are 53, 1283. Prime factorization of 67999 in exponential form is:

67999 = 531 × 12831

Prime Factorization of 68013

Prime factors of 68013 are 3, 11, 229. Prime factorization of 68013 in exponential form is:

68013 = 33 × 111 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 67999 and 68013.

LCM(67999,68013) = 531 × 12831 × 33 × 111 × 2291
LCM(67999,68013) = 4624815987