What is the Least Common Multiple of 67461 and 67481?

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 67461 and 67481 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67461 and 67481, than apply into the LCM equation.

GCF(67461,67481) = 1
LCM(67461,67481) = ( 67461 × 67481) / 1
LCM(67461,67481) = 4552335741 / 1
LCM(67461,67481) = 4552335741

Least Common Multiple (LCM) of 67461 and 67481 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67461 and 67481. First we will calculate the prime factors of 67461 and 67481.

Prime Factorization of 67461

Prime Factorization of 67481

Now multiplying the highest exponent prime factors to calculate the LCM of 67461 and 67481.

LCM(67461,67481) = 3¹ × 113¹ × 199¹ × 67481¹
LCM(67461,67481) = 4552335741