What is the Least Common Multiple of 17360 and 17374?

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 17360 and 17374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17360 and 17374, than apply into the LCM equation.

GCF(17360,17374) = 14
LCM(17360,17374) = ( 17360 × 17374) / 14
LCM(17360,17374) = 301612640 / 14
LCM(17360,17374) = 21543760

Least Common Multiple (LCM) of 17360 and 17374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17360 and 17374. First we will calculate the prime factors of 17360 and 17374.

Prime Factorization of 17360

Prime Factorization of 17374

Now multiplying the highest exponent prime factors to calculate the LCM of 17360 and 17374.

LCM(17360,17374) = 2⁴ × 5¹ × 7¹ × 31¹ × 17¹ × 73¹
LCM(17360,17374) = 21543760