What is the Least Common Multiple of 90999 and 91015?

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 90999 and 91015 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90999 and 91015, than apply into the LCM equation.

GCF(90999,91015) = 1
LCM(90999,91015) = ( 90999 × 91015) / 1
LCM(90999,91015) = 8282273985 / 1
LCM(90999,91015) = 8282273985

Least Common Multiple (LCM) of 90999 and 91015 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90999 and 91015. First we will calculate the prime factors of 90999 and 91015.

Prime Factorization of 90999

Prime Factorization of 91015

Now multiplying the highest exponent prime factors to calculate the LCM of 90999 and 91015.

LCM(90999,91015) = 3² × 10111¹ × 5¹ × 109¹ × 167¹
LCM(90999,91015) = 8282273985