What is the Least Common Multiple of 33552 and 33561?

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 33561 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 33561, than apply into the LCM equation.

GCF(33552,33561) = 9
LCM(33552,33561) = ( 33552 × 33561) / 9
LCM(33552,33561) = 1126038672 / 9
LCM(33552,33561) = 125115408

Least Common Multiple (LCM) of 33552 and 33561 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33552 and 33561. First we will calculate the prime factors of 33552 and 33561.

Prime Factorization of 33552

Prime Factorization of 33561

Now multiplying the highest exponent prime factors to calculate the LCM of 33552 and 33561.

LCM(33552,33561) = 2⁴ × 3³ × 233¹ × 11¹ × 113¹
LCM(33552,33561) = 125115408