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What is the Least Common Multiple of 67845 and 67864?

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 67864 is 4604233080.

LCM(67845,67864) = 4604233080

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Least Common Multiple of 67845 and 67864 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 67864, than apply into the LCM equation.

GCF(67845,67864) = 1
LCM(67845,67864) = ( 67845 × 67864) / 1
LCM(67845,67864) = 4604233080 / 1
LCM(67845,67864) = 4604233080

Least Common Multiple (LCM) of 67845 and 67864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67845 and 67864. First we will calculate the prime factors of 67845 and 67864.

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 67864

Prime factors of 67864 are 2, 17, 499. Prime factorization of 67864 in exponential form is:

67864 = 23 × 171 × 4991

Now multiplying the highest exponent prime factors to calculate the LCM of 67845 and 67864.

LCM(67845,67864) = 31 × 51 × 45231 × 23 × 171 × 4991
LCM(67845,67864) = 4604233080