What is the Least Common Multiple of 13356 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 13356 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 13356 and 13370, than apply into the LCM equation.

GCF(13356,13370) = 14
LCM(13356,13370) = ( 13356 × 13370) / 14
LCM(13356,13370) = 178569720 / 14
LCM(13356,13370) = 12754980

Least Common Multiple (LCM) of 13356 and 13370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13356 and 13370. First we will calculate the prime factors of 13356 and 13370.

Prime Factorization of 13356

Prime Factorization of 13370

Now multiplying the highest exponent prime factors to calculate the LCM of 13356 and 13370.

LCM(13356,13370) = 2² × 3² × 7¹ × 53¹ × 5¹ × 191¹
LCM(13356,13370) = 12754980