What is the Least Common Multiple of 68590 and 68609?

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 68590 and 68609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68590 and 68609, than apply into the LCM equation.

GCF(68590,68609) = 19
LCM(68590,68609) = ( 68590 × 68609) / 19
LCM(68590,68609) = 4705891310 / 19
LCM(68590,68609) = 247678490

Least Common Multiple (LCM) of 68590 and 68609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68590 and 68609. First we will calculate the prime factors of 68590 and 68609.

Prime Factorization of 68590

Prime Factorization of 68609

Now multiplying the highest exponent prime factors to calculate the LCM of 68590 and 68609.

LCM(68590,68609) = 2¹ × 5¹ × 19³ × 23¹ × 157¹
LCM(68590,68609) = 247678490