What is the Least Common Multiple of 8840 and 8846?

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 8840 and 8846 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8840 and 8846, than apply into the LCM equation.

GCF(8840,8846) = 2
LCM(8840,8846) = ( 8840 × 8846) / 2
LCM(8840,8846) = 78198640 / 2
LCM(8840,8846) = 39099320

Least Common Multiple (LCM) of 8840 and 8846 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8840 and 8846. First we will calculate the prime factors of 8840 and 8846.

Prime Factorization of 8840

Prime Factorization of 8846

Now multiplying the highest exponent prime factors to calculate the LCM of 8840 and 8846.

LCM(8840,8846) = 2³ × 5¹ × 13¹ × 17¹ × 4423¹
LCM(8840,8846) = 39099320