What is the Least Common Multiple of 90115 and 90128?

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 90115 and 90128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90115 and 90128, than apply into the LCM equation.

GCF(90115,90128) = 1
LCM(90115,90128) = ( 90115 × 90128) / 1
LCM(90115,90128) = 8121884720 / 1
LCM(90115,90128) = 8121884720

Least Common Multiple (LCM) of 90115 and 90128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90115 and 90128. First we will calculate the prime factors of 90115 and 90128.

Prime Factorization of 90115

Prime Factorization of 90128

Now multiplying the highest exponent prime factors to calculate the LCM of 90115 and 90128.

LCM(90115,90128) = 5¹ × 67¹ × 269¹ × 2⁴ × 43¹ × 131¹
LCM(90115,90128) = 8121884720