What is the Least Common Multiple of 90645 and 90665?

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 90645 and 90665 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90645 and 90665, than apply into the LCM equation.

GCF(90645,90665) = 5
LCM(90645,90665) = ( 90645 × 90665) / 5
LCM(90645,90665) = 8218328925 / 5
LCM(90645,90665) = 1643665785

Least Common Multiple (LCM) of 90645 and 90665 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90645 and 90665. First we will calculate the prime factors of 90645 and 90665.

Prime Factorization of 90645

Prime Factorization of 90665

Now multiplying the highest exponent prime factors to calculate the LCM of 90645 and 90665.

LCM(90645,90665) = 3¹ × 5¹ × 6043¹ × 18133¹
LCM(90645,90665) = 1643665785