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What is the Least Common Multiple of 67279 and 67297?

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 67279 and 67297 is 4527674863.

LCM(67279,67297) = 4527674863

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Least Common Multiple of 67279 and 67297 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67279 and 67297, than apply into the LCM equation.

GCF(67279,67297) = 1
LCM(67279,67297) = ( 67279 × 67297) / 1
LCM(67279,67297) = 4527674863 / 1
LCM(67279,67297) = 4527674863

Least Common Multiple (LCM) of 67279 and 67297 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67279 and 67297. First we will calculate the prime factors of 67279 and 67297.

Prime Factorization of 67279

Prime factors of 67279 are 19, 3541. Prime factorization of 67279 in exponential form is:

67279 = 191 × 35411

Prime Factorization of 67297

Prime factors of 67297 are 173, 389. Prime factorization of 67297 in exponential form is:

67297 = 1731 × 3891

Now multiplying the highest exponent prime factors to calculate the LCM of 67279 and 67297.

LCM(67279,67297) = 191 × 35411 × 1731 × 3891
LCM(67279,67297) = 4527674863