What is the Least Common Multiple of 96544 and 96560?

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 96544 and 96560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96544 and 96560, than apply into the LCM equation.

GCF(96544,96560) = 16
LCM(96544,96560) = ( 96544 × 96560) / 16
LCM(96544,96560) = 9322288640 / 16
LCM(96544,96560) = 582643040

Least Common Multiple (LCM) of 96544 and 96560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96544 and 96560. First we will calculate the prime factors of 96544 and 96560.

Prime Factorization of 96544

Prime Factorization of 96560

Now multiplying the highest exponent prime factors to calculate the LCM of 96544 and 96560.

LCM(96544,96560) = 2⁵ × 7¹ × 431¹ × 5¹ × 17¹ × 71¹
LCM(96544,96560) = 582643040