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What is the Least Common Multiple of 67733 and 67742?

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 67733 and 67742 is 4588368886.

LCM(67733,67742) = 4588368886

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Least Common Multiple of 67733 and 67742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67733 and 67742, than apply into the LCM equation.

GCF(67733,67742) = 1
LCM(67733,67742) = ( 67733 × 67742) / 1
LCM(67733,67742) = 4588368886 / 1
LCM(67733,67742) = 4588368886

Least Common Multiple (LCM) of 67733 and 67742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67733 and 67742. First we will calculate the prime factors of 67733 and 67742.

Prime Factorization of 67733

Prime factors of 67733 are 67733. Prime factorization of 67733 in exponential form is:

67733 = 677331

Prime Factorization of 67742

Prime factors of 67742 are 2, 33871. Prime factorization of 67742 in exponential form is:

67742 = 21 × 338711

Now multiplying the highest exponent prime factors to calculate the LCM of 67733 and 67742.

LCM(67733,67742) = 677331 × 21 × 338711
LCM(67733,67742) = 4588368886