What is the Least Common Multiple of 9680 and 9700?

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 9680 and 9700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9680 and 9700, than apply into the LCM equation.

GCF(9680,9700) = 20
LCM(9680,9700) = ( 9680 × 9700) / 20
LCM(9680,9700) = 93896000 / 20
LCM(9680,9700) = 4694800

Least Common Multiple (LCM) of 9680 and 9700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9680 and 9700. First we will calculate the prime factors of 9680 and 9700.

Prime Factorization of 9680

Prime Factorization of 9700

Now multiplying the highest exponent prime factors to calculate the LCM of 9680 and 9700.

LCM(9680,9700) = 2⁴ × 5² × 11² × 97¹
LCM(9680,9700) = 4694800