What is the Least Common Multiple of 33471 and 33488?

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 33471 and 33488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33471 and 33488, than apply into the LCM equation.

GCF(33471,33488) = 1
LCM(33471,33488) = ( 33471 × 33488) / 1
LCM(33471,33488) = 1120876848 / 1
LCM(33471,33488) = 1120876848

Least Common Multiple (LCM) of 33471 and 33488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33471 and 33488. First we will calculate the prime factors of 33471 and 33488.

Prime Factorization of 33471

Prime Factorization of 33488

Now multiplying the highest exponent prime factors to calculate the LCM of 33471 and 33488.

LCM(33471,33488) = 3² × 3719¹ × 2⁴ × 7¹ × 13¹ × 23¹
LCM(33471,33488) = 1120876848