What is the Least Common Multiple of 68576 and 68582?

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 68576 and 68582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68576 and 68582, than apply into the LCM equation.

GCF(68576,68582) = 2
LCM(68576,68582) = ( 68576 × 68582) / 2
LCM(68576,68582) = 4703079232 / 2
LCM(68576,68582) = 2351539616

Least Common Multiple (LCM) of 68576 and 68582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68576 and 68582. First we will calculate the prime factors of 68576 and 68582.

Prime Factorization of 68576

Prime Factorization of 68582

Now multiplying the highest exponent prime factors to calculate the LCM of 68576 and 68582.

LCM(68576,68582) = 2⁵ × 2143¹ × 53¹ × 647¹
LCM(68576,68582) = 2351539616