What is the Least Common Multiple of 75192 and 75211?

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 75192 and 75211 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75192 and 75211, than apply into the LCM equation.

GCF(75192,75211) = 1
LCM(75192,75211) = ( 75192 × 75211) / 1
LCM(75192,75211) = 5655265512 / 1
LCM(75192,75211) = 5655265512

Least Common Multiple (LCM) of 75192 and 75211 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75192 and 75211. First we will calculate the prime factors of 75192 and 75211.

Prime Factorization of 75192

Prime Factorization of 75211

Now multiplying the highest exponent prime factors to calculate the LCM of 75192 and 75211.

LCM(75192,75211) = 2³ × 3¹ × 13¹ × 241¹ × 75211¹
LCM(75192,75211) = 5655265512