What is the Least Common Multiple of 74205 and 74210?

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 74210 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 74210, than apply into the LCM equation.

GCF(74205,74210) = 5
LCM(74205,74210) = ( 74205 × 74210) / 5
LCM(74205,74210) = 5506753050 / 5
LCM(74205,74210) = 1101350610

Least Common Multiple (LCM) of 74205 and 74210 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74205 and 74210. First we will calculate the prime factors of 74205 and 74210.

Prime Factorization of 74205

Prime Factorization of 74210

Now multiplying the highest exponent prime factors to calculate the LCM of 74205 and 74210.

LCM(74205,74210) = 3² × 5¹ × 17¹ × 97¹ × 2¹ × 41¹ × 181¹
LCM(74205,74210) = 1101350610