What is the Least Common Multiple of 75174 and 75192?

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 75174 and 75192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75174 and 75192, than apply into the LCM equation.

GCF(75174,75192) = 6
LCM(75174,75192) = ( 75174 × 75192) / 6
LCM(75174,75192) = 5652483408 / 6
LCM(75174,75192) = 942080568

Least Common Multiple (LCM) of 75174 and 75192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75174 and 75192. First we will calculate the prime factors of 75174 and 75192.

Prime Factorization of 75174

Prime Factorization of 75192

Now multiplying the highest exponent prime factors to calculate the LCM of 75174 and 75192.

LCM(75174,75192) = 2³ × 3¹ × 11¹ × 17¹ × 67¹ × 13¹ × 241¹
LCM(75174,75192) = 942080568