What is the Least Common Multiple of 34433 and 34441?

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 34433 and 34441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34433 and 34441, than apply into the LCM equation.

GCF(34433,34441) = 1
LCM(34433,34441) = ( 34433 × 34441) / 1
LCM(34433,34441) = 1185906953 / 1
LCM(34433,34441) = 1185906953

Least Common Multiple (LCM) of 34433 and 34441 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34433 and 34441. First we will calculate the prime factors of 34433 and 34441.

Prime Factorization of 34433

Prime Factorization of 34441

Now multiplying the highest exponent prime factors to calculate the LCM of 34433 and 34441.

LCM(34433,34441) = 7¹ × 4919¹ × 11¹ × 31¹ × 101¹
LCM(34433,34441) = 1185906953