What is the Least Common Multiple of 68471 and 68489?

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 68471 and 68489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68471 and 68489, than apply into the LCM equation.

GCF(68471,68489) = 1
LCM(68471,68489) = ( 68471 × 68489) / 1
LCM(68471,68489) = 4689510319 / 1
LCM(68471,68489) = 4689510319

Least Common Multiple (LCM) of 68471 and 68489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68471 and 68489. First we will calculate the prime factors of 68471 and 68489.

Prime Factorization of 68471

Prime Factorization of 68489

Now multiplying the highest exponent prime factors to calculate the LCM of 68471 and 68489.

LCM(68471,68489) = 13¹ × 23¹ × 229¹ × 68489¹
LCM(68471,68489) = 4689510319