What is the Least Common Multiple of 33438 and 33454?

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 33438 and 33454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33438 and 33454, than apply into the LCM equation.

GCF(33438,33454) = 2
LCM(33438,33454) = ( 33438 × 33454) / 2
LCM(33438,33454) = 1118634852 / 2
LCM(33438,33454) = 559317426

Least Common Multiple (LCM) of 33438 and 33454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33438 and 33454. First we will calculate the prime factors of 33438 and 33454.

Prime Factorization of 33438

Prime Factorization of 33454

Now multiplying the highest exponent prime factors to calculate the LCM of 33438 and 33454.

LCM(33438,33454) = 2¹ × 3¹ × 5573¹ × 43¹ × 389¹
LCM(33438,33454) = 559317426