What is the Least Common Multiple of 34656 and 34669?

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 34656 and 34669 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34656 and 34669, than apply into the LCM equation.

GCF(34656,34669) = 1
LCM(34656,34669) = ( 34656 × 34669) / 1
LCM(34656,34669) = 1201488864 / 1
LCM(34656,34669) = 1201488864

Least Common Multiple (LCM) of 34656 and 34669 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34656 and 34669. First we will calculate the prime factors of 34656 and 34669.

Prime Factorization of 34656

Prime Factorization of 34669

Now multiplying the highest exponent prime factors to calculate the LCM of 34656 and 34669.

LCM(34656,34669) = 2⁵ × 3¹ × 19² × 37¹ × 937¹
LCM(34656,34669) = 1201488864