What is the Least Common Multiple of 75803 and 75814?

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 75803 and 75814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75803 and 75814, than apply into the LCM equation.

GCF(75803,75814) = 1
LCM(75803,75814) = ( 75803 × 75814) / 1
LCM(75803,75814) = 5746928642 / 1
LCM(75803,75814) = 5746928642

Least Common Multiple (LCM) of 75803 and 75814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75803 and 75814. First we will calculate the prime factors of 75803 and 75814.

Prime Factorization of 75803

Prime Factorization of 75814

Now multiplying the highest exponent prime factors to calculate the LCM of 75803 and 75814.

LCM(75803,75814) = 7³ × 13¹ × 17¹ × 2¹ × 37907¹
LCM(75803,75814) = 5746928642