What is the Least Common Multiple of 51578 and 51590?

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 51578 and 51590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51578 and 51590, than apply into the LCM equation.

GCF(51578,51590) = 2
LCM(51578,51590) = ( 51578 × 51590) / 2
LCM(51578,51590) = 2660909020 / 2
LCM(51578,51590) = 1330454510

Least Common Multiple (LCM) of 51578 and 51590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51578 and 51590. First we will calculate the prime factors of 51578 and 51590.

Prime Factorization of 51578

Prime Factorization of 51590

Now multiplying the highest exponent prime factors to calculate the LCM of 51578 and 51590.

LCM(51578,51590) = 2¹ × 17¹ × 37¹ × 41¹ × 5¹ × 7¹ × 11¹ × 67¹
LCM(51578,51590) = 1330454510