What is the Least Common Multiple of 17374 and 17388?

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 17374 and 17388 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17374 and 17388, than apply into the LCM equation.

GCF(17374,17388) = 14
LCM(17374,17388) = ( 17374 × 17388) / 14
LCM(17374,17388) = 302099112 / 14
LCM(17374,17388) = 21578508

Least Common Multiple (LCM) of 17374 and 17388 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17374 and 17388. First we will calculate the prime factors of 17374 and 17388.

Prime Factorization of 17374

Prime Factorization of 17388

Now multiplying the highest exponent prime factors to calculate the LCM of 17374 and 17388.

LCM(17374,17388) = 2² × 7¹ × 17¹ × 73¹ × 3³ × 23¹
LCM(17374,17388) = 21578508