What is the Least Common Multiple of 26832 and 26838?

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 26832 and 26838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26832 and 26838, than apply into the LCM equation.

GCF(26832,26838) = 6
LCM(26832,26838) = ( 26832 × 26838) / 6
LCM(26832,26838) = 720117216 / 6
LCM(26832,26838) = 120019536

Least Common Multiple (LCM) of 26832 and 26838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26832 and 26838. First we will calculate the prime factors of 26832 and 26838.

Prime Factorization of 26832

Prime Factorization of 26838

Now multiplying the highest exponent prime factors to calculate the LCM of 26832 and 26838.

LCM(26832,26838) = 2⁴ × 3³ × 13¹ × 43¹ × 7¹ × 71¹
LCM(26832,26838) = 120019536