What is the Least Common Multiple of 89509 and 89523?

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 89509 and 89523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89509 and 89523, than apply into the LCM equation.

GCF(89509,89523) = 7
LCM(89509,89523) = ( 89509 × 89523) / 7
LCM(89509,89523) = 8013114207 / 7
LCM(89509,89523) = 1144730601

Least Common Multiple (LCM) of 89509 and 89523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89509 and 89523. First we will calculate the prime factors of 89509 and 89523.

Prime Factorization of 89509

Prime Factorization of 89523

Now multiplying the highest exponent prime factors to calculate the LCM of 89509 and 89523.

LCM(89509,89523) = 7³ × 19¹ × 673¹ × 3² × 29¹
LCM(89509,89523) = 1144730601