What is the Least Common Multiple of 86592 and 86609?

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 86592 and 86609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86592 and 86609, than apply into the LCM equation.

GCF(86592,86609) = 1
LCM(86592,86609) = ( 86592 × 86609) / 1
LCM(86592,86609) = 7499646528 / 1
LCM(86592,86609) = 7499646528

Least Common Multiple (LCM) of 86592 and 86609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86592 and 86609. First we will calculate the prime factors of 86592 and 86609.

Prime Factorization of 86592

Prime Factorization of 86609

Now multiplying the highest exponent prime factors to calculate the LCM of 86592 and 86609.

LCM(86592,86609) = 2⁶ × 3¹ × 11¹ × 41¹ × 257¹ × 337¹
LCM(86592,86609) = 7499646528