What is the Least Common Multiple of 67397 and 67411?

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 67397 and 67411 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67397 and 67411, than apply into the LCM equation.

GCF(67397,67411) = 1
LCM(67397,67411) = ( 67397 × 67411) / 1
LCM(67397,67411) = 4543299167 / 1
LCM(67397,67411) = 4543299167

Least Common Multiple (LCM) of 67397 and 67411 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67397 and 67411. First we will calculate the prime factors of 67397 and 67411.

Prime Factorization of 67397

Prime Factorization of 67411

Now multiplying the highest exponent prime factors to calculate the LCM of 67397 and 67411.

LCM(67397,67411) = 11² × 557¹ × 67411¹
LCM(67397,67411) = 4543299167