What is the Least Common Multiple of 75153 and 75161?

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 75153 and 75161 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75153 and 75161, than apply into the LCM equation.

GCF(75153,75161) = 1
LCM(75153,75161) = ( 75153 × 75161) / 1
LCM(75153,75161) = 5648574633 / 1
LCM(75153,75161) = 5648574633

Least Common Multiple (LCM) of 75153 and 75161 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75153 and 75161. First we will calculate the prime factors of 75153 and 75161.

Prime Factorization of 75153

Prime Factorization of 75161

Now multiplying the highest exponent prime factors to calculate the LCM of 75153 and 75161.

LCM(75153,75161) = 3¹ × 13¹ × 41¹ × 47¹ × 75161¹
LCM(75153,75161) = 5648574633