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What is the Least Common Multiple of 67997 and 68014?

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 67997 and 68014 is 4624747958.

LCM(67997,68014) = 4624747958

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Least Common Multiple of 67997 and 68014 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67997 and 68014, than apply into the LCM equation.

GCF(67997,68014) = 1
LCM(67997,68014) = ( 67997 × 68014) / 1
LCM(67997,68014) = 4624747958 / 1
LCM(67997,68014) = 4624747958

Least Common Multiple (LCM) of 67997 and 68014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67997 and 68014. First we will calculate the prime factors of 67997 and 68014.

Prime Factorization of 67997

Prime factors of 67997 are 97, 701. Prime factorization of 67997 in exponential form is:

67997 = 971 × 7011

Prime Factorization of 68014

Prime factors of 68014 are 2, 31, 1097. Prime factorization of 68014 in exponential form is:

68014 = 21 × 311 × 10971

Now multiplying the highest exponent prime factors to calculate the LCM of 67997 and 68014.

LCM(67997,68014) = 971 × 7011 × 21 × 311 × 10971
LCM(67997,68014) = 4624747958