What is the Least Common Multiple of 33661 and 33673?

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 33661 and 33673 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33661 and 33673, than apply into the LCM equation.

GCF(33661,33673) = 1
LCM(33661,33673) = ( 33661 × 33673) / 1
LCM(33661,33673) = 1133466853 / 1
LCM(33661,33673) = 1133466853

Least Common Multiple (LCM) of 33661 and 33673 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33661 and 33673. First we will calculate the prime factors of 33661 and 33673.

Prime Factorization of 33661

Prime Factorization of 33673

Now multiplying the highest exponent prime factors to calculate the LCM of 33661 and 33673.

LCM(33661,33673) = 41¹ × 821¹ × 151¹ × 223¹
LCM(33661,33673) = 1133466853