What is the Least Common Multiple of 33605 and 33616?

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 33605 and 33616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33605 and 33616, than apply into the LCM equation.

GCF(33605,33616) = 11
LCM(33605,33616) = ( 33605 × 33616) / 11
LCM(33605,33616) = 1129665680 / 11
LCM(33605,33616) = 102696880

Least Common Multiple (LCM) of 33605 and 33616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33605 and 33616. First we will calculate the prime factors of 33605 and 33616.

Prime Factorization of 33605

Prime Factorization of 33616

Now multiplying the highest exponent prime factors to calculate the LCM of 33605 and 33616.

LCM(33605,33616) = 5¹ × 11¹ × 13¹ × 47¹ × 2⁴ × 191¹
LCM(33605,33616) = 102696880