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What is the Least Common Multiple of 68869 and 68873?

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 68869 and 68873 is 4743214637.

LCM(68869,68873) = 4743214637

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Least Common Multiple of 68869 and 68873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68869 and 68873, than apply into the LCM equation.

GCF(68869,68873) = 1
LCM(68869,68873) = ( 68869 × 68873) / 1
LCM(68869,68873) = 4743214637 / 1
LCM(68869,68873) = 4743214637

Least Common Multiple (LCM) of 68869 and 68873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68869 and 68873. First we will calculate the prime factors of 68869 and 68873.

Prime Factorization of 68869

Prime factors of 68869 are 61, 1129. Prime factorization of 68869 in exponential form is:

68869 = 611 × 11291

Prime Factorization of 68873

Prime factors of 68873 are 7, 9839. Prime factorization of 68873 in exponential form is:

68873 = 71 × 98391

Now multiplying the highest exponent prime factors to calculate the LCM of 68869 and 68873.

LCM(68869,68873) = 611 × 11291 × 71 × 98391
LCM(68869,68873) = 4743214637