What is the Least Common Multiple of 67184 and 67202?

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 67202 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 67202, than apply into the LCM equation.

GCF(67184,67202) = 2
LCM(67184,67202) = ( 67184 × 67202) / 2
LCM(67184,67202) = 4514899168 / 2
LCM(67184,67202) = 2257449584

Least Common Multiple (LCM) of 67184 and 67202 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67184 and 67202. First we will calculate the prime factors of 67184 and 67202.

Prime Factorization of 67184

Prime Factorization of 67202

Now multiplying the highest exponent prime factors to calculate the LCM of 67184 and 67202.

LCM(67184,67202) = 2⁴ × 13¹ × 17¹ × 19¹ × 33601¹
LCM(67184,67202) = 2257449584