What is the Least Common Multiple of 33570 and 33575?

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 33570 and 33575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33570 and 33575, than apply into the LCM equation.

GCF(33570,33575) = 5
LCM(33570,33575) = ( 33570 × 33575) / 5
LCM(33570,33575) = 1127112750 / 5
LCM(33570,33575) = 225422550

Least Common Multiple (LCM) of 33570 and 33575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33570 and 33575. First we will calculate the prime factors of 33570 and 33575.

Prime Factorization of 33570

Prime Factorization of 33575

Now multiplying the highest exponent prime factors to calculate the LCM of 33570 and 33575.

LCM(33570,33575) = 2¹ × 3² × 5² × 373¹ × 17¹ × 79¹
LCM(33570,33575) = 225422550