What is the Least Common Multiple of 13354 and 13370?

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 13354 and 13370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13354 and 13370, than apply into the LCM equation.

GCF(13354,13370) = 2
LCM(13354,13370) = ( 13354 × 13370) / 2
LCM(13354,13370) = 178542980 / 2
LCM(13354,13370) = 89271490

Least Common Multiple (LCM) of 13354 and 13370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13354 and 13370. First we will calculate the prime factors of 13354 and 13370.

Prime Factorization of 13354

Prime Factorization of 13370

Now multiplying the highest exponent prime factors to calculate the LCM of 13354 and 13370.

LCM(13354,13370) = 2¹ × 11¹ × 607¹ × 5¹ × 7¹ × 191¹
LCM(13354,13370) = 89271490