What is the Least Common Multiple of 67187 and 67192?

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 67187 and 67192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67187 and 67192, than apply into the LCM equation.

GCF(67187,67192) = 1
LCM(67187,67192) = ( 67187 × 67192) / 1
LCM(67187,67192) = 4514428904 / 1
LCM(67187,67192) = 4514428904

Least Common Multiple (LCM) of 67187 and 67192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67187 and 67192. First we will calculate the prime factors of 67187 and 67192.

Prime Factorization of 67187

Prime Factorization of 67192

Now multiplying the highest exponent prime factors to calculate the LCM of 67187 and 67192.

LCM(67187,67192) = 67187¹ × 2³ × 37¹ × 227¹
LCM(67187,67192) = 4514428904