What is the Least Common Multiple of 34436 and 34448?

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 34436 and 34448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34436 and 34448, than apply into the LCM equation.

GCF(34436,34448) = 4
LCM(34436,34448) = ( 34436 × 34448) / 4
LCM(34436,34448) = 1186251328 / 4
LCM(34436,34448) = 296562832

Least Common Multiple (LCM) of 34436 and 34448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34436 and 34448. First we will calculate the prime factors of 34436 and 34448.

Prime Factorization of 34436

Prime Factorization of 34448

Now multiplying the highest exponent prime factors to calculate the LCM of 34436 and 34448.

LCM(34436,34448) = 2⁴ × 8609¹ × 2153¹
LCM(34436,34448) = 296562832