What is the Least Common Multiple of 90140 and 90145?

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 90140 and 90145 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90140 and 90145, than apply into the LCM equation.

GCF(90140,90145) = 5
LCM(90140,90145) = ( 90140 × 90145) / 5
LCM(90140,90145) = 8125670300 / 5
LCM(90140,90145) = 1625134060

Least Common Multiple (LCM) of 90140 and 90145 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90140 and 90145. First we will calculate the prime factors of 90140 and 90145.

Prime Factorization of 90140

Prime Factorization of 90145

Now multiplying the highest exponent prime factors to calculate the LCM of 90140 and 90145.

LCM(90140,90145) = 2² × 5¹ × 4507¹ × 11² × 149¹
LCM(90140,90145) = 1625134060