What is the Least Common Multiple of 90100 and 90104?

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 90100 and 90104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90100 and 90104, than apply into the LCM equation.

GCF(90100,90104) = 4
LCM(90100,90104) = ( 90100 × 90104) / 4
LCM(90100,90104) = 8118370400 / 4
LCM(90100,90104) = 2029592600

Least Common Multiple (LCM) of 90100 and 90104 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90100 and 90104. First we will calculate the prime factors of 90100 and 90104.

Prime Factorization of 90100

Prime Factorization of 90104

Now multiplying the highest exponent prime factors to calculate the LCM of 90100 and 90104.

LCM(90100,90104) = 2³ × 5² × 17¹ × 53¹ × 7¹ × 1609¹
LCM(90100,90104) = 2029592600