What is the Least Common Multiple of 9856 and 9870?

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 9856 and 9870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9856 and 9870, than apply into the LCM equation.

GCF(9856,9870) = 14
LCM(9856,9870) = ( 9856 × 9870) / 14
LCM(9856,9870) = 97278720 / 14
LCM(9856,9870) = 6948480

Least Common Multiple (LCM) of 9856 and 9870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9856 and 9870. First we will calculate the prime factors of 9856 and 9870.

Prime Factorization of 9856

Prime Factorization of 9870

Now multiplying the highest exponent prime factors to calculate the LCM of 9856 and 9870.

LCM(9856,9870) = 2⁷ × 7¹ × 11¹ × 3¹ × 5¹ × 47¹
LCM(9856,9870) = 6948480