What is the Least Common Multiple of 96900 and 96904?

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 96900 and 96904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96900 and 96904, than apply into the LCM equation.

GCF(96900,96904) = 4
LCM(96900,96904) = ( 96900 × 96904) / 4
LCM(96900,96904) = 9389997600 / 4
LCM(96900,96904) = 2347499400

Least Common Multiple (LCM) of 96900 and 96904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96900 and 96904. First we will calculate the prime factors of 96900 and 96904.

Prime Factorization of 96900

Prime Factorization of 96904

Now multiplying the highest exponent prime factors to calculate the LCM of 96900 and 96904.

LCM(96900,96904) = 2³ × 3¹ × 5² × 17¹ × 19¹ × 12113¹
LCM(96900,96904) = 2347499400