What is the Least Common Multiple of 68552 and 68563?

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 68552 and 68563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68552 and 68563, than apply into the LCM equation.

GCF(68552,68563) = 11
LCM(68552,68563) = ( 68552 × 68563) / 11
LCM(68552,68563) = 4700130776 / 11
LCM(68552,68563) = 427284616

Least Common Multiple (LCM) of 68552 and 68563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68552 and 68563. First we will calculate the prime factors of 68552 and 68563.

Prime Factorization of 68552

Prime Factorization of 68563

Now multiplying the highest exponent prime factors to calculate the LCM of 68552 and 68563.

LCM(68552,68563) = 2³ × 11¹ × 19¹ × 41¹ × 23¹ × 271¹
LCM(68552,68563) = 427284616