What is the Least Common Multiple of 96540 and 96554?

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 96554 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 96554, than apply into the LCM equation.

GCF(96540,96554) = 2
LCM(96540,96554) = ( 96540 × 96554) / 2
LCM(96540,96554) = 9321323160 / 2
LCM(96540,96554) = 4660661580

Least Common Multiple (LCM) of 96540 and 96554 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96540 and 96554. First we will calculate the prime factors of 96540 and 96554.

Prime Factorization of 96540

Prime Factorization of 96554

Now multiplying the highest exponent prime factors to calculate the LCM of 96540 and 96554.

LCM(96540,96554) = 2² × 3¹ × 5¹ × 1609¹ × 23¹ × 2099¹
LCM(96540,96554) = 4660661580