What is the Least Common Multiple of 68403 and 68407?

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 68403 and 68407 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68403 and 68407, than apply into the LCM equation.

GCF(68403,68407) = 1
LCM(68403,68407) = ( 68403 × 68407) / 1
LCM(68403,68407) = 4679244021 / 1
LCM(68403,68407) = 4679244021

Least Common Multiple (LCM) of 68403 and 68407 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68403 and 68407. First we will calculate the prime factors of 68403 and 68407.

Prime Factorization of 68403

Prime Factorization of 68407

Now multiplying the highest exponent prime factors to calculate the LCM of 68403 and 68407.

LCM(68403,68407) = 3¹ × 151² × 67¹ × 1021¹
LCM(68403,68407) = 4679244021