What is the Least Common Multiple of 74205 and 74212?

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 74212 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 74212, than apply into the LCM equation.

GCF(74205,74212) = 1
LCM(74205,74212) = ( 74205 × 74212) / 1
LCM(74205,74212) = 5506901460 / 1
LCM(74205,74212) = 5506901460

Least Common Multiple (LCM) of 74205 and 74212 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74205 and 74212. First we will calculate the prime factors of 74205 and 74212.

Prime Factorization of 74205

Prime Factorization of 74212

Now multiplying the highest exponent prime factors to calculate the LCM of 74205 and 74212.

LCM(74205,74212) = 3² × 5¹ × 17¹ × 97¹ × 2² × 18553¹
LCM(74205,74212) = 5506901460