What is the Least Common Multiple of 96090 and 96100?

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 96090 and 96100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96090 and 96100, than apply into the LCM equation.

GCF(96090,96100) = 10
LCM(96090,96100) = ( 96090 × 96100) / 10
LCM(96090,96100) = 9234249000 / 10
LCM(96090,96100) = 923424900

Least Common Multiple (LCM) of 96090 and 96100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96090 and 96100. First we will calculate the prime factors of 96090 and 96100.

Prime Factorization of 96090

Prime Factorization of 96100

Now multiplying the highest exponent prime factors to calculate the LCM of 96090 and 96100.

LCM(96090,96100) = 2² × 3¹ × 5² × 3203¹ × 31²
LCM(96090,96100) = 923424900