What is the Least Common Multiple of 74213 and 74217?

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 74213 and 74217 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74213 and 74217, than apply into the LCM equation.

GCF(74213,74217) = 1
LCM(74213,74217) = ( 74213 × 74217) / 1
LCM(74213,74217) = 5507866221 / 1
LCM(74213,74217) = 5507866221

Least Common Multiple (LCM) of 74213 and 74217 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74213 and 74217. First we will calculate the prime factors of 74213 and 74217.

Prime Factorization of 74213

Prime Factorization of 74217

Now multiplying the highest exponent prime factors to calculate the LCM of 74213 and 74217.

LCM(74213,74217) = 47¹ × 1579¹ × 3¹ × 11¹ × 13¹ × 173¹
LCM(74213,74217) = 5507866221