What is the Least Common Multiple of 70576 and 70589?

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 70576 and 70589 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70576 and 70589, than apply into the LCM equation.

GCF(70576,70589) = 1
LCM(70576,70589) = ( 70576 × 70589) / 1
LCM(70576,70589) = 4981889264 / 1
LCM(70576,70589) = 4981889264

Least Common Multiple (LCM) of 70576 and 70589 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70576 and 70589. First we will calculate the prime factors of 70576 and 70589.

Prime Factorization of 70576

Prime Factorization of 70589

Now multiplying the highest exponent prime factors to calculate the LCM of 70576 and 70589.

LCM(70576,70589) = 2⁴ × 11¹ × 401¹ × 70589¹
LCM(70576,70589) = 4981889264