What is the Least Common Multiple of 87824 and 87838?

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 87824 and 87838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87824 and 87838, than apply into the LCM equation.

GCF(87824,87838) = 2
LCM(87824,87838) = ( 87824 × 87838) / 2
LCM(87824,87838) = 7714284512 / 2
LCM(87824,87838) = 3857142256

Least Common Multiple (LCM) of 87824 and 87838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87824 and 87838. First we will calculate the prime factors of 87824 and 87838.

Prime Factorization of 87824

Prime Factorization of 87838

Now multiplying the highest exponent prime factors to calculate the LCM of 87824 and 87838.

LCM(87824,87838) = 2⁴ × 11¹ × 499¹ × 37¹ × 1187¹
LCM(87824,87838) = 3857142256