What is the Least Common Multiple of 90645 and 90657?

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 90657 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 90657, than apply into the LCM equation.

GCF(90645,90657) = 3
LCM(90645,90657) = ( 90645 × 90657) / 3
LCM(90645,90657) = 8217603765 / 3
LCM(90645,90657) = 2739201255

Least Common Multiple (LCM) of 90645 and 90657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90645 and 90657. First we will calculate the prime factors of 90645 and 90657.

Prime Factorization of 90645

Prime Factorization of 90657

Now multiplying the highest exponent prime factors to calculate the LCM of 90645 and 90657.

LCM(90645,90657) = 3² × 5¹ × 6043¹ × 7¹ × 1439¹
LCM(90645,90657) = 2739201255