What is the Least Common Multiple of 9860 and 9876?

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 9860 and 9876 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9860 and 9876, than apply into the LCM equation.

GCF(9860,9876) = 4
LCM(9860,9876) = ( 9860 × 9876) / 4
LCM(9860,9876) = 97377360 / 4
LCM(9860,9876) = 24344340

Least Common Multiple (LCM) of 9860 and 9876 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9860 and 9876. First we will calculate the prime factors of 9860 and 9876.

Prime Factorization of 9860

Prime Factorization of 9876

Now multiplying the highest exponent prime factors to calculate the LCM of 9860 and 9876.

LCM(9860,9876) = 2² × 5¹ × 17¹ × 29¹ × 3¹ × 823¹
LCM(9860,9876) = 24344340