What is the Least Common Multiple of 96496 and 96506?

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 96496 and 96506 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96496 and 96506, than apply into the LCM equation.

GCF(96496,96506) = 2
LCM(96496,96506) = ( 96496 × 96506) / 2
LCM(96496,96506) = 9312442976 / 2
LCM(96496,96506) = 4656221488

Least Common Multiple (LCM) of 96496 and 96506 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96496 and 96506. First we will calculate the prime factors of 96496 and 96506.

Prime Factorization of 96496

Prime Factorization of 96506

Now multiplying the highest exponent prime factors to calculate the LCM of 96496 and 96506.

LCM(96496,96506) = 2⁴ × 37¹ × 163¹ × 73¹ × 661¹
LCM(96496,96506) = 4656221488