What is the Least Common Multiple of 90096 and 90100?

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 90096 and 90100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90096 and 90100, than apply into the LCM equation.

GCF(90096,90100) = 4
LCM(90096,90100) = ( 90096 × 90100) / 4
LCM(90096,90100) = 8117649600 / 4
LCM(90096,90100) = 2029412400

Least Common Multiple (LCM) of 90096 and 90100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90096 and 90100. First we will calculate the prime factors of 90096 and 90100.

Prime Factorization of 90096

Prime Factorization of 90100

Now multiplying the highest exponent prime factors to calculate the LCM of 90096 and 90100.

LCM(90096,90100) = 2⁴ × 3¹ × 1877¹ × 5² × 17¹ × 53¹
LCM(90096,90100) = 2029412400