What is the Least Common Multiple of 96730 and 96734?

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 96730 and 96734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96730 and 96734, than apply into the LCM equation.

GCF(96730,96734) = 2
LCM(96730,96734) = ( 96730 × 96734) / 2
LCM(96730,96734) = 9357079820 / 2
LCM(96730,96734) = 4678539910

Least Common Multiple (LCM) of 96730 and 96734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96730 and 96734. First we will calculate the prime factors of 96730 and 96734.

Prime Factorization of 96730

Prime Factorization of 96734

Now multiplying the highest exponent prime factors to calculate the LCM of 96730 and 96734.

LCM(96730,96734) = 2¹ × 5¹ × 17¹ × 569¹ × 11¹ × 4397¹
LCM(96730,96734) = 4678539910