What is the Least Common Multiple of 33675 and 33692?

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 33675 and 33692 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33675 and 33692, than apply into the LCM equation.

GCF(33675,33692) = 1
LCM(33675,33692) = ( 33675 × 33692) / 1
LCM(33675,33692) = 1134578100 / 1
LCM(33675,33692) = 1134578100

Least Common Multiple (LCM) of 33675 and 33692 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33675 and 33692. First we will calculate the prime factors of 33675 and 33692.

Prime Factorization of 33675

Prime Factorization of 33692

Now multiplying the highest exponent prime factors to calculate the LCM of 33675 and 33692.

LCM(33675,33692) = 3¹ × 5² × 449¹ × 2² × 8423¹
LCM(33675,33692) = 1134578100