What is the Least Common Multiple of 96590 and 96605?

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 96590 and 96605 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96590 and 96605, than apply into the LCM equation.

GCF(96590,96605) = 5
LCM(96590,96605) = ( 96590 × 96605) / 5
LCM(96590,96605) = 9331076950 / 5
LCM(96590,96605) = 1866215390

Least Common Multiple (LCM) of 96590 and 96605 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96590 and 96605. First we will calculate the prime factors of 96590 and 96605.

Prime Factorization of 96590

Prime Factorization of 96605

Now multiplying the highest exponent prime factors to calculate the LCM of 96590 and 96605.

LCM(96590,96605) = 2¹ × 5¹ × 13¹ × 743¹ × 139²
LCM(96590,96605) = 1866215390