What is the Least Common Multiple of 33464 and 33483?

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 33464 and 33483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33464 and 33483, than apply into the LCM equation.

GCF(33464,33483) = 1
LCM(33464,33483) = ( 33464 × 33483) / 1
LCM(33464,33483) = 1120475112 / 1
LCM(33464,33483) = 1120475112

Least Common Multiple (LCM) of 33464 and 33483 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33464 and 33483. First we will calculate the prime factors of 33464 and 33483.

Prime Factorization of 33464

Prime Factorization of 33483

Now multiplying the highest exponent prime factors to calculate the LCM of 33464 and 33483.

LCM(33464,33483) = 2³ × 47¹ × 89¹ × 3¹ × 11161¹
LCM(33464,33483) = 1120475112