What is the Least Common Multiple of 33431 and 33437?

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 33431 and 33437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33431 and 33437, than apply into the LCM equation.

GCF(33431,33437) = 1
LCM(33431,33437) = ( 33431 × 33437) / 1
LCM(33431,33437) = 1117832347 / 1
LCM(33431,33437) = 1117832347

Least Common Multiple (LCM) of 33431 and 33437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33431 and 33437. First we will calculate the prime factors of 33431 and 33437.

Prime Factorization of 33431

Prime Factorization of 33437

Now multiplying the highest exponent prime factors to calculate the LCM of 33431 and 33437.

LCM(33431,33437) = 101¹ × 331¹ × 29¹ × 1153¹
LCM(33431,33437) = 1117832347