What is the Least Common Multiple of 67184 and 67201?

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 67184 and 67201 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67184 and 67201, than apply into the LCM equation.

GCF(67184,67201) = 17
LCM(67184,67201) = ( 67184 × 67201) / 17
LCM(67184,67201) = 4514831984 / 17
LCM(67184,67201) = 265578352

Least Common Multiple (LCM) of 67184 and 67201 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67184 and 67201. First we will calculate the prime factors of 67184 and 67201.

Prime Factorization of 67184

Prime Factorization of 67201

Now multiplying the highest exponent prime factors to calculate the LCM of 67184 and 67201.

LCM(67184,67201) = 2⁴ × 13¹ × 17¹ × 19¹ × 59¹ × 67¹
LCM(67184,67201) = 265578352