What is the Least Common Multiple of 33414 and 33423?

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 33414 and 33423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33414 and 33423, than apply into the LCM equation.

GCF(33414,33423) = 3
LCM(33414,33423) = ( 33414 × 33423) / 3
LCM(33414,33423) = 1116796122 / 3
LCM(33414,33423) = 372265374

Least Common Multiple (LCM) of 33414 and 33423 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33414 and 33423. First we will calculate the prime factors of 33414 and 33423.

Prime Factorization of 33414

Prime Factorization of 33423

Now multiplying the highest exponent prime factors to calculate the LCM of 33414 and 33423.

LCM(33414,33423) = 2¹ × 3¹ × 5569¹ × 13¹ × 857¹
LCM(33414,33423) = 372265374