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What is the Least Common Multiple of 68719 and 68727?

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 68719 and 68727 is 4722850713.

LCM(68719,68727) = 4722850713

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Least Common Multiple of 68719 and 68727 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68719 and 68727, than apply into the LCM equation.

GCF(68719,68727) = 1
LCM(68719,68727) = ( 68719 × 68727) / 1
LCM(68719,68727) = 4722850713 / 1
LCM(68719,68727) = 4722850713

Least Common Multiple (LCM) of 68719 and 68727 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68719 and 68727. First we will calculate the prime factors of 68719 and 68727.

Prime Factorization of 68719

Prime factors of 68719 are 7, 9817. Prime factorization of 68719 in exponential form is:

68719 = 71 × 98171

Prime Factorization of 68727

Prime factors of 68727 are 3, 31, 739. Prime factorization of 68727 in exponential form is:

68727 = 31 × 311 × 7391

Now multiplying the highest exponent prime factors to calculate the LCM of 68719 and 68727.

LCM(68719,68727) = 71 × 98171 × 31 × 311 × 7391
LCM(68719,68727) = 4722850713