What is the Least Common Multiple of 90104 and 90115?

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 90104 and 90115 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90104 and 90115, than apply into the LCM equation.

GCF(90104,90115) = 1
LCM(90104,90115) = ( 90104 × 90115) / 1
LCM(90104,90115) = 8119721960 / 1
LCM(90104,90115) = 8119721960

Least Common Multiple (LCM) of 90104 and 90115 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90104 and 90115. First we will calculate the prime factors of 90104 and 90115.

Prime Factorization of 90104

Prime Factorization of 90115

Now multiplying the highest exponent prime factors to calculate the LCM of 90104 and 90115.

LCM(90104,90115) = 2³ × 7¹ × 1609¹ × 5¹ × 67¹ × 269¹
LCM(90104,90115) = 8119721960