What is the Least Common Multiple of 32056 and 32066?

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 32056 and 32066 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32056 and 32066, than apply into the LCM equation.

GCF(32056,32066) = 2
LCM(32056,32066) = ( 32056 × 32066) / 2
LCM(32056,32066) = 1027907696 / 2
LCM(32056,32066) = 513953848

Least Common Multiple (LCM) of 32056 and 32066 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32056 and 32066. First we will calculate the prime factors of 32056 and 32066.

Prime Factorization of 32056

Prime Factorization of 32066

Now multiplying the highest exponent prime factors to calculate the LCM of 32056 and 32066.

LCM(32056,32066) = 2³ × 4007¹ × 16033¹
LCM(32056,32066) = 513953848