What is the Least Common Multiple of 33552 and 33563?

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 33552 and 33563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33552 and 33563, than apply into the LCM equation.

GCF(33552,33563) = 1
LCM(33552,33563) = ( 33552 × 33563) / 1
LCM(33552,33563) = 1126105776 / 1
LCM(33552,33563) = 1126105776

Least Common Multiple (LCM) of 33552 and 33563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33552 and 33563. First we will calculate the prime factors of 33552 and 33563.

Prime Factorization of 33552

Prime Factorization of 33563

Now multiplying the highest exponent prime factors to calculate the LCM of 33552 and 33563.

LCM(33552,33563) = 2⁴ × 3² × 233¹ × 33563¹
LCM(33552,33563) = 1126105776