What is the Least Common Multiple of 96540 and 96544?

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 96540 and 96544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96540 and 96544, than apply into the LCM equation.

GCF(96540,96544) = 4
LCM(96540,96544) = ( 96540 × 96544) / 4
LCM(96540,96544) = 9320357760 / 4
LCM(96540,96544) = 2330089440

Least Common Multiple (LCM) of 96540 and 96544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96540 and 96544. First we will calculate the prime factors of 96540 and 96544.

Prime Factorization of 96540

Prime Factorization of 96544

Now multiplying the highest exponent prime factors to calculate the LCM of 96540 and 96544.

LCM(96540,96544) = 2⁵ × 3¹ × 5¹ × 1609¹ × 7¹ × 431¹
LCM(96540,96544) = 2330089440