What is the Least Common Multiple of 2814 and 2832?

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 2814 and 2832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2814 and 2832, than apply into the LCM equation.

GCF(2814,2832) = 6
LCM(2814,2832) = ( 2814 × 2832) / 6
LCM(2814,2832) = 7969248 / 6
LCM(2814,2832) = 1328208

Least Common Multiple (LCM) of 2814 and 2832 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2814 and 2832. First we will calculate the prime factors of 2814 and 2832.

Prime Factorization of 2814

Prime Factorization of 2832

Now multiplying the highest exponent prime factors to calculate the LCM of 2814 and 2832.

LCM(2814,2832) = 2⁴ × 3¹ × 7¹ × 67¹ × 59¹
LCM(2814,2832) = 1328208