What is the Least Common Multiple of 96971 and 96985?

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 96971 and 96985 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96971 and 96985, than apply into the LCM equation.

GCF(96971,96985) = 7
LCM(96971,96985) = ( 96971 × 96985) / 7
LCM(96971,96985) = 9404732435 / 7
LCM(96971,96985) = 1343533205

Least Common Multiple (LCM) of 96971 and 96985 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96971 and 96985. First we will calculate the prime factors of 96971 and 96985.

Prime Factorization of 96971

Prime Factorization of 96985

Now multiplying the highest exponent prime factors to calculate the LCM of 96971 and 96985.

LCM(96971,96985) = 7² × 1979¹ × 5¹ × 17¹ × 163¹
LCM(96971,96985) = 1343533205