What is the Least Common Multiple of 33436 and 33447?

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 33436 and 33447 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33436 and 33447, than apply into the LCM equation.

GCF(33436,33447) = 1
LCM(33436,33447) = ( 33436 × 33447) / 1
LCM(33436,33447) = 1118333892 / 1
LCM(33436,33447) = 1118333892

Least Common Multiple (LCM) of 33436 and 33447 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33436 and 33447. First we will calculate the prime factors of 33436 and 33447.

Prime Factorization of 33436

Prime Factorization of 33447

Now multiplying the highest exponent prime factors to calculate the LCM of 33436 and 33447.

LCM(33436,33447) = 2² × 13¹ × 643¹ × 3¹ × 11149¹
LCM(33436,33447) = 1118333892