What is the Least Common Multiple of 67827 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 of 67827 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 67827 and 67839, than apply into the LCM equation.

GCF(67827,67839) = 3
LCM(67827,67839) = ( 67827 × 67839) / 3
LCM(67827,67839) = 4601315853 / 3
LCM(67827,67839) = 1533771951

Least Common Multiple (LCM) of 67827 and 67839 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67827 and 67839. First we will calculate the prime factors of 67827 and 67839.

Prime Factorization of 67827

Prime Factorization of 67839

Now multiplying the highest exponent prime factors to calculate the LCM of 67827 and 67839.

LCM(67827,67839) = 3¹ × 23¹ × 983¹ × 22613¹
LCM(67827,67839) = 1533771951