What is the Least Common Multiple of 90545 and 90563?

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 90545 and 90563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90545 and 90563, than apply into the LCM equation.

GCF(90545,90563) = 1
LCM(90545,90563) = ( 90545 × 90563) / 1
LCM(90545,90563) = 8200026835 / 1
LCM(90545,90563) = 8200026835

Least Common Multiple (LCM) of 90545 and 90563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90545 and 90563. First we will calculate the prime factors of 90545 and 90563.

Prime Factorization of 90545

Prime Factorization of 90563

Now multiplying the highest exponent prime factors to calculate the LCM of 90545 and 90563.

LCM(90545,90563) = 5¹ × 7¹ × 13¹ × 199¹ × 11¹ × 8233¹
LCM(90545,90563) = 8200026835