What is the Least Common Multiple of 75514 and 75519?

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 75514 and 75519 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75514 and 75519, than apply into the LCM equation.

GCF(75514,75519) = 1
LCM(75514,75519) = ( 75514 × 75519) / 1
LCM(75514,75519) = 5702741766 / 1
LCM(75514,75519) = 5702741766

Least Common Multiple (LCM) of 75514 and 75519 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75514 and 75519. First we will calculate the prime factors of 75514 and 75519.

Prime Factorization of 75514

Prime Factorization of 75519

Now multiplying the highest exponent prime factors to calculate the LCM of 75514 and 75519.

LCM(75514,75519) = 2¹ × 17¹ × 2221¹ × 3³ × 2797¹
LCM(75514,75519) = 5702741766