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What is the Least Common Multiple of 67887 and 67894?

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 67887 and 67894 is 4609119978.

LCM(67887,67894) = 4609119978

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Least Common Multiple of 67887 and 67894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67887 and 67894, than apply into the LCM equation.

GCF(67887,67894) = 1
LCM(67887,67894) = ( 67887 × 67894) / 1
LCM(67887,67894) = 4609119978 / 1
LCM(67887,67894) = 4609119978

Least Common Multiple (LCM) of 67887 and 67894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67887 and 67894. First we will calculate the prime factors of 67887 and 67894.

Prime Factorization of 67887

Prime factors of 67887 are 3, 19, 397. Prime factorization of 67887 in exponential form is:

67887 = 32 × 191 × 3971

Prime Factorization of 67894

Prime factors of 67894 are 2, 83, 409. Prime factorization of 67894 in exponential form is:

67894 = 21 × 831 × 4091

Now multiplying the highest exponent prime factors to calculate the LCM of 67887 and 67894.

LCM(67887,67894) = 32 × 191 × 3971 × 21 × 831 × 4091
LCM(67887,67894) = 4609119978