What is the Least Common Multiple of 90640 and 90645?

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 90640 and 90645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90640 and 90645, than apply into the LCM equation.

GCF(90640,90645) = 5
LCM(90640,90645) = ( 90640 × 90645) / 5
LCM(90640,90645) = 8216062800 / 5
LCM(90640,90645) = 1643212560

Least Common Multiple (LCM) of 90640 and 90645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90640 and 90645. First we will calculate the prime factors of 90640 and 90645.

Prime Factorization of 90640

Prime Factorization of 90645

Now multiplying the highest exponent prime factors to calculate the LCM of 90640 and 90645.

LCM(90640,90645) = 2⁴ × 5¹ × 11¹ × 103¹ × 3¹ × 6043¹
LCM(90640,90645) = 1643212560