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What is the Least Common Multiple of 67883 and 67891?

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 67883 and 67891 is 4608644753.

LCM(67883,67891) = 4608644753

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Least Common Multiple of 67883 and 67891 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67883 and 67891, than apply into the LCM equation.

GCF(67883,67891) = 1
LCM(67883,67891) = ( 67883 × 67891) / 1
LCM(67883,67891) = 4608644753 / 1
LCM(67883,67891) = 4608644753

Least Common Multiple (LCM) of 67883 and 67891 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67883 and 67891. First we will calculate the prime factors of 67883 and 67891.

Prime Factorization of 67883

Prime factors of 67883 are 67883. Prime factorization of 67883 in exponential form is:

67883 = 678831

Prime Factorization of 67891

Prime factors of 67891 are 67891. Prime factorization of 67891 in exponential form is:

67891 = 678911

Now multiplying the highest exponent prime factors to calculate the LCM of 67883 and 67891.

LCM(67883,67891) = 678831 × 678911
LCM(67883,67891) = 4608644753