What is the Least Common Multiple of 13428 and 13435?

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 13428 and 13435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13428 and 13435, than apply into the LCM equation.

GCF(13428,13435) = 1
LCM(13428,13435) = ( 13428 × 13435) / 1
LCM(13428,13435) = 180405180 / 1
LCM(13428,13435) = 180405180

Least Common Multiple (LCM) of 13428 and 13435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13428 and 13435. First we will calculate the prime factors of 13428 and 13435.

Prime Factorization of 13428

Prime Factorization of 13435

Now multiplying the highest exponent prime factors to calculate the LCM of 13428 and 13435.

LCM(13428,13435) = 2² × 3² × 373¹ × 5¹ × 2687¹
LCM(13428,13435) = 180405180