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What is the Least Common Multiple of 67835 and 67839?

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 67835 and 67839 is 4601858565.

LCM(67835,67839) = 4601858565

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Least Common Multiple of 67835 and 67839 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67835 and 67839, than apply into the LCM equation.

GCF(67835,67839) = 1
LCM(67835,67839) = ( 67835 × 67839) / 1
LCM(67835,67839) = 4601858565 / 1
LCM(67835,67839) = 4601858565

Least Common Multiple (LCM) of 67835 and 67839 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67835 and 67839. First we will calculate the prime factors of 67835 and 67839.

Prime Factorization of 67835

Prime factors of 67835 are 5, 13567. Prime factorization of 67835 in exponential form is:

67835 = 51 × 135671

Prime Factorization of 67839

Prime factors of 67839 are 3, 22613. Prime factorization of 67839 in exponential form is:

67839 = 31 × 226131

Now multiplying the highest exponent prime factors to calculate the LCM of 67835 and 67839.

LCM(67835,67839) = 51 × 135671 × 31 × 226131
LCM(67835,67839) = 4601858565