What is the Least Common Multiple of 90145 and 90149?

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 90145 and 90149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90145 and 90149, than apply into the LCM equation.

GCF(90145,90149) = 1
LCM(90145,90149) = ( 90145 × 90149) / 1
LCM(90145,90149) = 8126481605 / 1
LCM(90145,90149) = 8126481605

Least Common Multiple (LCM) of 90145 and 90149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90145 and 90149. First we will calculate the prime factors of 90145 and 90149.

Prime Factorization of 90145

Prime Factorization of 90149

Now multiplying the highest exponent prime factors to calculate the LCM of 90145 and 90149.

LCM(90145,90149) = 5¹ × 11² × 149¹ × 90149¹
LCM(90145,90149) = 8126481605