What is the Least Common Multiple of 34538 and 34544?

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 34538 and 34544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34538 and 34544, than apply into the LCM equation.

GCF(34538,34544) = 2
LCM(34538,34544) = ( 34538 × 34544) / 2
LCM(34538,34544) = 1193080672 / 2
LCM(34538,34544) = 596540336

Least Common Multiple (LCM) of 34538 and 34544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34538 and 34544. First we will calculate the prime factors of 34538 and 34544.

Prime Factorization of 34538

Prime Factorization of 34544

Now multiplying the highest exponent prime factors to calculate the LCM of 34538 and 34544.

LCM(34538,34544) = 2⁴ × 7¹ × 2467¹ × 17¹ × 127¹
LCM(34538,34544) = 596540336