What is the Least Common Multiple of 17374 and 17391?

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 17391 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 17391, than apply into the LCM equation.

GCF(17374,17391) = 17
LCM(17374,17391) = ( 17374 × 17391) / 17
LCM(17374,17391) = 302151234 / 17
LCM(17374,17391) = 17773602

Least Common Multiple (LCM) of 17374 and 17391 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17374 and 17391. First we will calculate the prime factors of 17374 and 17391.

Prime Factorization of 17374

Prime Factorization of 17391

Now multiplying the highest exponent prime factors to calculate the LCM of 17374 and 17391.

LCM(17374,17391) = 2¹ × 7¹ × 17¹ × 73¹ × 3¹ × 11¹ × 31¹
LCM(17374,17391) = 17773602