What is the Least Common Multiple of 12348 and 12357?

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 12348 and 12357 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12348 and 12357, than apply into the LCM equation.

GCF(12348,12357) = 9
LCM(12348,12357) = ( 12348 × 12357) / 9
LCM(12348,12357) = 152584236 / 9
LCM(12348,12357) = 16953804

Least Common Multiple (LCM) of 12348 and 12357 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12348 and 12357. First we will calculate the prime factors of 12348 and 12357.

Prime Factorization of 12348

Prime Factorization of 12357

Now multiplying the highest exponent prime factors to calculate the LCM of 12348 and 12357.

LCM(12348,12357) = 2² × 3² × 7³ × 1373¹
LCM(12348,12357) = 16953804