What is the Least Common Multiple of 33560 and 33568?

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 33560 and 33568 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33560 and 33568, than apply into the LCM equation.

GCF(33560,33568) = 8
LCM(33560,33568) = ( 33560 × 33568) / 8
LCM(33560,33568) = 1126542080 / 8
LCM(33560,33568) = 140817760

Least Common Multiple (LCM) of 33560 and 33568 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33560 and 33568. First we will calculate the prime factors of 33560 and 33568.

Prime Factorization of 33560

Prime Factorization of 33568

Now multiplying the highest exponent prime factors to calculate the LCM of 33560 and 33568.

LCM(33560,33568) = 2⁵ × 5¹ × 839¹ × 1049¹
LCM(33560,33568) = 140817760