What is the Least Common Multiple of 67214 and 67232?

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 67214 and 67232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67214 and 67232, than apply into the LCM equation.

GCF(67214,67232) = 2
LCM(67214,67232) = ( 67214 × 67232) / 2
LCM(67214,67232) = 4518931648 / 2
LCM(67214,67232) = 2259465824

Least Common Multiple (LCM) of 67214 and 67232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67214 and 67232. First we will calculate the prime factors of 67214 and 67232.

Prime Factorization of 67214

Prime Factorization of 67232

Now multiplying the highest exponent prime factors to calculate the LCM of 67214 and 67232.

LCM(67214,67232) = 2⁵ × 7¹ × 4801¹ × 11¹ × 191¹
LCM(67214,67232) = 2259465824