What is the Least Common Multiple of 68174 and 68192?

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 68174 and 68192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68174 and 68192, than apply into the LCM equation.

GCF(68174,68192) = 2
LCM(68174,68192) = ( 68174 × 68192) / 2
LCM(68174,68192) = 4648921408 / 2
LCM(68174,68192) = 2324460704

Least Common Multiple (LCM) of 68174 and 68192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68174 and 68192. First we will calculate the prime factors of 68174 and 68192.

Prime Factorization of 68174

Prime Factorization of 68192

Now multiplying the highest exponent prime factors to calculate the LCM of 68174 and 68192.

LCM(68174,68192) = 2⁵ × 89¹ × 383¹ × 2131¹
LCM(68174,68192) = 2324460704