What is the Least Common Multiple of 32560 and 32566?

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 32560 and 32566 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32560 and 32566, than apply into the LCM equation.

GCF(32560,32566) = 2
LCM(32560,32566) = ( 32560 × 32566) / 2
LCM(32560,32566) = 1060348960 / 2
LCM(32560,32566) = 530174480

Least Common Multiple (LCM) of 32560 and 32566 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32560 and 32566. First we will calculate the prime factors of 32560 and 32566.

Prime Factorization of 32560

Prime Factorization of 32566

Now multiplying the highest exponent prime factors to calculate the LCM of 32560 and 32566.

LCM(32560,32566) = 2⁴ × 5¹ × 11¹ × 37¹ × 19¹ × 857¹
LCM(32560,32566) = 530174480