What is the Least Common Multiple of 33419 and 33432?

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 33419 and 33432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33419 and 33432, than apply into the LCM equation.

GCF(33419,33432) = 1
LCM(33419,33432) = ( 33419 × 33432) / 1
LCM(33419,33432) = 1117264008 / 1
LCM(33419,33432) = 1117264008

Least Common Multiple (LCM) of 33419 and 33432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33419 and 33432. First we will calculate the prime factors of 33419 and 33432.

Prime Factorization of 33419

Prime Factorization of 33432

Now multiplying the highest exponent prime factors to calculate the LCM of 33419 and 33432.

LCM(33419,33432) = 23¹ × 1453¹ × 2³ × 3¹ × 7¹ × 199¹
LCM(33419,33432) = 1117264008