What is the Least Common Multiple of 17578 and 17591?

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 17578 and 17591 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17578 and 17591, than apply into the LCM equation.

GCF(17578,17591) = 1
LCM(17578,17591) = ( 17578 × 17591) / 1
LCM(17578,17591) = 309214598 / 1
LCM(17578,17591) = 309214598

Least Common Multiple (LCM) of 17578 and 17591 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17578 and 17591. First we will calculate the prime factors of 17578 and 17591.

Prime Factorization of 17578

Prime Factorization of 17591

Now multiplying the highest exponent prime factors to calculate the LCM of 17578 and 17591.

LCM(17578,17591) = 2¹ × 11¹ × 17¹ × 47¹ × 7² × 359¹
LCM(17578,17591) = 309214598