What is the Least Common Multiple of 8489 and 8509?

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 8489 and 8509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8489 and 8509, than apply into the LCM equation.

GCF(8489,8509) = 1
LCM(8489,8509) = ( 8489 × 8509) / 1
LCM(8489,8509) = 72232901 / 1
LCM(8489,8509) = 72232901

Least Common Multiple (LCM) of 8489 and 8509 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8489 and 8509. First we will calculate the prime factors of 8489 and 8509.

Prime Factorization of 8489

Prime Factorization of 8509

Now multiplying the highest exponent prime factors to calculate the LCM of 8489 and 8509.

LCM(8489,8509) = 13¹ × 653¹ × 67¹ × 127¹
LCM(8489,8509) = 72232901