What is the Least Common Multiple of 34689 and 34701?

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 34689 and 34701 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34689 and 34701, than apply into the LCM equation.

GCF(34689,34701) = 3
LCM(34689,34701) = ( 34689 × 34701) / 3
LCM(34689,34701) = 1203742989 / 3
LCM(34689,34701) = 401247663

Least Common Multiple (LCM) of 34689 and 34701 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34689 and 34701. First we will calculate the prime factors of 34689 and 34701.

Prime Factorization of 34689

Prime Factorization of 34701

Now multiplying the highest exponent prime factors to calculate the LCM of 34689 and 34701.

LCM(34689,34701) = 3¹ × 31¹ × 373¹ × 43¹ × 269¹
LCM(34689,34701) = 401247663