What is the Least Common Multiple of 33572 and 33583?

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 33572 and 33583 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33572 and 33583, than apply into the LCM equation.

GCF(33572,33583) = 11
LCM(33572,33583) = ( 33572 × 33583) / 11
LCM(33572,33583) = 1127448476 / 11
LCM(33572,33583) = 102495316

Least Common Multiple (LCM) of 33572 and 33583 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33572 and 33583. First we will calculate the prime factors of 33572 and 33583.

Prime Factorization of 33572

Prime Factorization of 33583

Now multiplying the highest exponent prime factors to calculate the LCM of 33572 and 33583.

LCM(33572,33583) = 2² × 7¹ × 11¹ × 109¹ × 43¹ × 71¹
LCM(33572,33583) = 102495316