What is the Least Common Multiple of 78576 and 78590?

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 78576 and 78590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78576 and 78590, than apply into the LCM equation.

GCF(78576,78590) = 2
LCM(78576,78590) = ( 78576 × 78590) / 2
LCM(78576,78590) = 6175287840 / 2
LCM(78576,78590) = 3087643920

Least Common Multiple (LCM) of 78576 and 78590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78576 and 78590. First we will calculate the prime factors of 78576 and 78590.

Prime Factorization of 78576

Prime Factorization of 78590

Now multiplying the highest exponent prime factors to calculate the LCM of 78576 and 78590.

LCM(78576,78590) = 2⁴ × 3¹ × 1637¹ × 5¹ × 29¹ × 271¹
LCM(78576,78590) = 3087643920