What is the Least Common Multiple of 13370 and 13385?

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 13370 and 13385 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13370 and 13385, than apply into the LCM equation.

GCF(13370,13385) = 5
LCM(13370,13385) = ( 13370 × 13385) / 5
LCM(13370,13385) = 178957450 / 5
LCM(13370,13385) = 35791490

Least Common Multiple (LCM) of 13370 and 13385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13370 and 13385. First we will calculate the prime factors of 13370 and 13385.

Prime Factorization of 13370

Prime Factorization of 13385

Now multiplying the highest exponent prime factors to calculate the LCM of 13370 and 13385.

LCM(13370,13385) = 2¹ × 5¹ × 7¹ × 191¹ × 2677¹
LCM(13370,13385) = 35791490