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What is the Least Common Multiple of 68839 and 68851?

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 68839 and 68851 is 4739633989.

LCM(68839,68851) = 4739633989

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Least Common Multiple of 68839 and 68851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68839 and 68851, than apply into the LCM equation.

GCF(68839,68851) = 1
LCM(68839,68851) = ( 68839 × 68851) / 1
LCM(68839,68851) = 4739633989 / 1
LCM(68839,68851) = 4739633989

Least Common Multiple (LCM) of 68839 and 68851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68839 and 68851. First we will calculate the prime factors of 68839 and 68851.

Prime Factorization of 68839

Prime factors of 68839 are 23, 41, 73. Prime factorization of 68839 in exponential form is:

68839 = 231 × 411 × 731

Prime Factorization of 68851

Prime factors of 68851 are 31, 2221. Prime factorization of 68851 in exponential form is:

68851 = 311 × 22211

Now multiplying the highest exponent prime factors to calculate the LCM of 68839 and 68851.

LCM(68839,68851) = 231 × 411 × 731 × 311 × 22211
LCM(68839,68851) = 4739633989