What is the Least Common Multiple of 2352 and 2364?

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 2352 and 2364 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2352 and 2364, than apply into the LCM equation.

GCF(2352,2364) = 12
LCM(2352,2364) = ( 2352 × 2364) / 12
LCM(2352,2364) = 5560128 / 12
LCM(2352,2364) = 463344

Least Common Multiple (LCM) of 2352 and 2364 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2352 and 2364. First we will calculate the prime factors of 2352 and 2364.

Prime Factorization of 2352

Prime Factorization of 2364

Now multiplying the highest exponent prime factors to calculate the LCM of 2352 and 2364.

LCM(2352,2364) = 2⁴ × 3¹ × 7² × 197¹
LCM(2352,2364) = 463344