What is the Least Common Multiple of 75213 and 75233?

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 75213 and 75233 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75213 and 75233, than apply into the LCM equation.

GCF(75213,75233) = 1
LCM(75213,75233) = ( 75213 × 75233) / 1
LCM(75213,75233) = 5658499629 / 1
LCM(75213,75233) = 5658499629

Least Common Multiple (LCM) of 75213 and 75233 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75213 and 75233. First we will calculate the prime factors of 75213 and 75233.

Prime Factorization of 75213

Prime Factorization of 75233

Now multiplying the highest exponent prime factors to calculate the LCM of 75213 and 75233.

LCM(75213,75233) = 3² × 61¹ × 137¹ × 23¹ × 3271¹
LCM(75213,75233) = 5658499629