What is the Least Common Multiple of 96680 and 96700?

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 96680 and 96700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96680 and 96700, than apply into the LCM equation.

GCF(96680,96700) = 20
LCM(96680,96700) = ( 96680 × 96700) / 20
LCM(96680,96700) = 9348956000 / 20
LCM(96680,96700) = 467447800

Least Common Multiple (LCM) of 96680 and 96700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96680 and 96700. First we will calculate the prime factors of 96680 and 96700.

Prime Factorization of 96680

Prime Factorization of 96700

Now multiplying the highest exponent prime factors to calculate the LCM of 96680 and 96700.

LCM(96680,96700) = 2³ × 5² × 2417¹ × 967¹
LCM(96680,96700) = 467447800