What is the Least Common Multiple of 90900 and 90906?

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 90900 and 90906 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90900 and 90906, than apply into the LCM equation.

GCF(90900,90906) = 6
LCM(90900,90906) = ( 90900 × 90906) / 6
LCM(90900,90906) = 8263355400 / 6
LCM(90900,90906) = 1377225900

Least Common Multiple (LCM) of 90900 and 90906 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90900 and 90906. First we will calculate the prime factors of 90900 and 90906.

Prime Factorization of 90900

Prime Factorization of 90906

Now multiplying the highest exponent prime factors to calculate the LCM of 90900 and 90906.

LCM(90900,90906) = 2² × 3² × 5² × 101¹ × 109¹ × 139¹
LCM(90900,90906) = 1377225900