What is the Least Common Multiple of 74205 and 74213?

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 74205 and 74213 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74205 and 74213, than apply into the LCM equation.

GCF(74205,74213) = 1
LCM(74205,74213) = ( 74205 × 74213) / 1
LCM(74205,74213) = 5506975665 / 1
LCM(74205,74213) = 5506975665

Least Common Multiple (LCM) of 74205 and 74213 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74205 and 74213. First we will calculate the prime factors of 74205 and 74213.

Prime Factorization of 74205

Prime Factorization of 74213

Now multiplying the highest exponent prime factors to calculate the LCM of 74205 and 74213.

LCM(74205,74213) = 3² × 5¹ × 17¹ × 97¹ × 47¹ × 1579¹
LCM(74205,74213) = 5506975665