What is the Least Common Multiple of 17374 and 17390?

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 17390 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 17390, than apply into the LCM equation.

GCF(17374,17390) = 2
LCM(17374,17390) = ( 17374 × 17390) / 2
LCM(17374,17390) = 302133860 / 2
LCM(17374,17390) = 151066930

Least Common Multiple (LCM) of 17374 and 17390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17374 and 17390. First we will calculate the prime factors of 17374 and 17390.

Prime Factorization of 17374

Prime Factorization of 17390

Now multiplying the highest exponent prime factors to calculate the LCM of 17374 and 17390.

LCM(17374,17390) = 2¹ × 7¹ × 17¹ × 73¹ × 5¹ × 37¹ × 47¹
LCM(17374,17390) = 151066930