What is the Least Common Multiple of 96720 and 96725?

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 96720 and 96725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96720 and 96725, than apply into the LCM equation.

GCF(96720,96725) = 5
LCM(96720,96725) = ( 96720 × 96725) / 5
LCM(96720,96725) = 9355242000 / 5
LCM(96720,96725) = 1871048400

Least Common Multiple (LCM) of 96720 and 96725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96720 and 96725. First we will calculate the prime factors of 96720 and 96725.

Prime Factorization of 96720

Prime Factorization of 96725

Now multiplying the highest exponent prime factors to calculate the LCM of 96720 and 96725.

LCM(96720,96725) = 2⁴ × 3¹ × 5² × 13¹ × 31¹ × 53¹ × 73¹
LCM(96720,96725) = 1871048400