What is the Least Common Multiple of 34869 and 34878?

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 34869 and 34878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34869 and 34878, than apply into the LCM equation.

GCF(34869,34878) = 3
LCM(34869,34878) = ( 34869 × 34878) / 3
LCM(34869,34878) = 1216160982 / 3
LCM(34869,34878) = 405386994

Least Common Multiple (LCM) of 34869 and 34878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34869 and 34878. First we will calculate the prime factors of 34869 and 34878.

Prime Factorization of 34869

Prime Factorization of 34878

Now multiplying the highest exponent prime factors to calculate the LCM of 34869 and 34878.

LCM(34869,34878) = 3¹ × 59¹ × 197¹ × 2¹ × 5813¹
LCM(34869,34878) = 405386994