What is the Least Common Multiple of 33546 and 33552?

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 33546 and 33552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33546 and 33552, than apply into the LCM equation.

GCF(33546,33552) = 6
LCM(33546,33552) = ( 33546 × 33552) / 6
LCM(33546,33552) = 1125535392 / 6
LCM(33546,33552) = 187589232

Least Common Multiple (LCM) of 33546 and 33552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33546 and 33552. First we will calculate the prime factors of 33546 and 33552.

Prime Factorization of 33546

Prime Factorization of 33552

Now multiplying the highest exponent prime factors to calculate the LCM of 33546 and 33552.

LCM(33546,33552) = 2⁴ × 3² × 5591¹ × 233¹
LCM(33546,33552) = 187589232