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What is the Least Common Multiple of 68641 and 68645?

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 68641 and 68645 is 4711861445.

LCM(68641,68645) = 4711861445

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Least Common Multiple of 68641 and 68645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68641 and 68645, than apply into the LCM equation.

GCF(68641,68645) = 1
LCM(68641,68645) = ( 68641 × 68645) / 1
LCM(68641,68645) = 4711861445 / 1
LCM(68641,68645) = 4711861445

Least Common Multiple (LCM) of 68641 and 68645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68641 and 68645. First we will calculate the prime factors of 68641 and 68645.

Prime Factorization of 68641

Prime factors of 68641 are 83, 827. Prime factorization of 68641 in exponential form is:

68641 = 831 × 8271

Prime Factorization of 68645

Prime factors of 68645 are 5, 13729. Prime factorization of 68645 in exponential form is:

68645 = 51 × 137291

Now multiplying the highest exponent prime factors to calculate the LCM of 68641 and 68645.

LCM(68641,68645) = 831 × 8271 × 51 × 137291
LCM(68641,68645) = 4711861445