What is the Least Common Multiple of 33420 and 33429?

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 33420 and 33429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33420 and 33429, than apply into the LCM equation.

GCF(33420,33429) = 3
LCM(33420,33429) = ( 33420 × 33429) / 3
LCM(33420,33429) = 1117197180 / 3
LCM(33420,33429) = 372399060

Least Common Multiple (LCM) of 33420 and 33429 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33420 and 33429. First we will calculate the prime factors of 33420 and 33429.

Prime Factorization of 33420

Prime Factorization of 33429

Now multiplying the highest exponent prime factors to calculate the LCM of 33420 and 33429.

LCM(33420,33429) = 2² × 3¹ × 5¹ × 557¹ × 11¹ × 1013¹
LCM(33420,33429) = 372399060