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What is the Least Common Multiple of 67845 and 67851?

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 67845 and 67851 is 1534450365.

LCM(67845,67851) = 1534450365

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Least Common Multiple of 67845 and 67851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67845 and 67851, than apply into the LCM equation.

GCF(67845,67851) = 3
LCM(67845,67851) = ( 67845 × 67851) / 3
LCM(67845,67851) = 4603351095 / 3
LCM(67845,67851) = 1534450365

Least Common Multiple (LCM) of 67845 and 67851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67845 and 67851. First we will calculate the prime factors of 67845 and 67851.

Prime Factorization of 67845

Prime factors of 67845 are 3, 5, 4523. Prime factorization of 67845 in exponential form is:

67845 = 31 × 51 × 45231

Prime Factorization of 67851

Prime factors of 67851 are 3, 7, 359. Prime factorization of 67851 in exponential form is:

67851 = 33 × 71 × 3591

Now multiplying the highest exponent prime factors to calculate the LCM of 67845 and 67851.

LCM(67845,67851) = 33 × 51 × 45231 × 71 × 3591
LCM(67845,67851) = 1534450365