What is the Least Common Multiple of 96900 and 96912?

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 96912 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 96912, than apply into the LCM equation.

GCF(96900,96912) = 12
LCM(96900,96912) = ( 96900 × 96912) / 12
LCM(96900,96912) = 9390772800 / 12
LCM(96900,96912) = 782564400

Least Common Multiple (LCM) of 96900 and 96912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96900 and 96912. First we will calculate the prime factors of 96900 and 96912.

Prime Factorization of 96900

Prime Factorization of 96912

Now multiplying the highest exponent prime factors to calculate the LCM of 96900 and 96912.

LCM(96900,96912) = 2⁴ × 3² × 5² × 17¹ × 19¹ × 673¹
LCM(96900,96912) = 782564400