What is the Least Common Multiple of 33574 and 33593?

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 33574 and 33593 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33574 and 33593, than apply into the LCM equation.

GCF(33574,33593) = 1
LCM(33574,33593) = ( 33574 × 33593) / 1
LCM(33574,33593) = 1127851382 / 1
LCM(33574,33593) = 1127851382

Least Common Multiple (LCM) of 33574 and 33593 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33574 and 33593. First we will calculate the prime factors of 33574 and 33593.

Prime Factorization of 33574

Prime Factorization of 33593

Now multiplying the highest exponent prime factors to calculate the LCM of 33574 and 33593.

LCM(33574,33593) = 2¹ × 16787¹ × 7¹ × 4799¹
LCM(33574,33593) = 1127851382