What is the Least Common Multiple of 17420 and 17433?

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 17420 and 17433 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17420 and 17433, than apply into the LCM equation.

GCF(17420,17433) = 13
LCM(17420,17433) = ( 17420 × 17433) / 13
LCM(17420,17433) = 303682860 / 13
LCM(17420,17433) = 23360220

Least Common Multiple (LCM) of 17420 and 17433 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17420 and 17433. First we will calculate the prime factors of 17420 and 17433.

Prime Factorization of 17420

Prime Factorization of 17433

Now multiplying the highest exponent prime factors to calculate the LCM of 17420 and 17433.

LCM(17420,17433) = 2² × 5¹ × 13¹ × 67¹ × 3² × 149¹
LCM(17420,17433) = 23360220