GCF and LCM Calculator Logo

What is the Least Common Multiple of 67839 and 67847?

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 67839 and 67847 is 4602672633.

LCM(67839,67847) = 4602672633

LCM Calculator and
and

Least Common Multiple of 67839 and 67847 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67839 and 67847, than apply into the LCM equation.

GCF(67839,67847) = 1
LCM(67839,67847) = ( 67839 × 67847) / 1
LCM(67839,67847) = 4602672633 / 1
LCM(67839,67847) = 4602672633

Least Common Multiple (LCM) of 67839 and 67847 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67839 and 67847. First we will calculate the prime factors of 67839 and 67847.

Prime Factorization of 67839

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

67839 = 31 × 226131

Prime Factorization of 67847

Prime factors of 67847 are 13, 17, 307. Prime factorization of 67847 in exponential form is:

67847 = 131 × 171 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 67839 and 67847.

LCM(67839,67847) = 31 × 226131 × 131 × 171 × 3071
LCM(67839,67847) = 4602672633