What is the Least Common Multiple of 96554 and 96565?

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 96554 and 96565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96554 and 96565, than apply into the LCM equation.

GCF(96554,96565) = 1
LCM(96554,96565) = ( 96554 × 96565) / 1
LCM(96554,96565) = 9323737010 / 1
LCM(96554,96565) = 9323737010

Least Common Multiple (LCM) of 96554 and 96565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96554 and 96565. First we will calculate the prime factors of 96554 and 96565.

Prime Factorization of 96554

Prime Factorization of 96565

Now multiplying the highest exponent prime factors to calculate the LCM of 96554 and 96565.

LCM(96554,96565) = 2¹ × 23¹ × 2099¹ × 5¹ × 7¹ × 31¹ × 89¹
LCM(96554,96565) = 9323737010