What is the Least Common Multiple of 13574 and 13579?

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 13574 and 13579 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13574 and 13579, than apply into the LCM equation.

GCF(13574,13579) = 1
LCM(13574,13579) = ( 13574 × 13579) / 1
LCM(13574,13579) = 184321346 / 1
LCM(13574,13579) = 184321346

Least Common Multiple (LCM) of 13574 and 13579 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13574 and 13579. First we will calculate the prime factors of 13574 and 13579.

Prime Factorization of 13574

Prime Factorization of 13579

Now multiplying the highest exponent prime factors to calculate the LCM of 13574 and 13579.

LCM(13574,13579) = 2¹ × 11¹ × 617¹ × 37¹ × 367¹
LCM(13574,13579) = 184321346