What is the Least Common Multiple of 67414 and 67426?

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 67414 and 67426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67414 and 67426, than apply into the LCM equation.

GCF(67414,67426) = 2
LCM(67414,67426) = ( 67414 × 67426) / 2
LCM(67414,67426) = 4545456364 / 2
LCM(67414,67426) = 2272728182

Least Common Multiple (LCM) of 67414 and 67426 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67414 and 67426. First we will calculate the prime factors of 67414 and 67426.

Prime Factorization of 67414

Prime Factorization of 67426

Now multiplying the highest exponent prime factors to calculate the LCM of 67414 and 67426.

LCM(67414,67426) = 2¹ × 37¹ × 911¹ × 33713¹
LCM(67414,67426) = 2272728182