What is the Least Common Multiple of 34540 and 34559?

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 34540 and 34559 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34540 and 34559, than apply into the LCM equation.

GCF(34540,34559) = 1
LCM(34540,34559) = ( 34540 × 34559) / 1
LCM(34540,34559) = 1193667860 / 1
LCM(34540,34559) = 1193667860

Least Common Multiple (LCM) of 34540 and 34559 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34540 and 34559. First we will calculate the prime factors of 34540 and 34559.

Prime Factorization of 34540

Prime Factorization of 34559

Now multiplying the highest exponent prime factors to calculate the LCM of 34540 and 34559.

LCM(34540,34559) = 2² × 5¹ × 11¹ × 157¹ × 7¹ × 4937¹
LCM(34540,34559) = 1193667860