What is the Least Common Multiple of 67839 and 67845?

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 67839 and 67845 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 67845, than apply into the LCM equation.

GCF(67839,67845) = 3
LCM(67839,67845) = ( 67839 × 67845) / 3
LCM(67839,67845) = 4602536955 / 3
LCM(67839,67845) = 1534178985

Least Common Multiple (LCM) of 67839 and 67845 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67839 and 67845. First we will calculate the prime factors of 67839 and 67845.

Prime Factorization of 67839

Prime Factorization of 67845

Now multiplying the highest exponent prime factors to calculate the LCM of 67839 and 67845.

LCM(67839,67845) = 3¹ × 22613¹ × 5¹ × 4523¹
LCM(67839,67845) = 1534178985