What is the Least Common Multiple of 33414 and 33431?

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 33431 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 33431, than apply into the LCM equation.

GCF(33414,33431) = 1
LCM(33414,33431) = ( 33414 × 33431) / 1
LCM(33414,33431) = 1117063434 / 1
LCM(33414,33431) = 1117063434

Least Common Multiple (LCM) of 33414 and 33431 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33414 and 33431. First we will calculate the prime factors of 33414 and 33431.

Prime Factorization of 33414

Prime Factorization of 33431

Now multiplying the highest exponent prime factors to calculate the LCM of 33414 and 33431.

LCM(33414,33431) = 2¹ × 3¹ × 5569¹ × 101¹ × 331¹
LCM(33414,33431) = 1117063434