What is the Least Common Multiple of 8259 and 8277?

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 8259 and 8277 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8259 and 8277, than apply into the LCM equation.

GCF(8259,8277) = 3
LCM(8259,8277) = ( 8259 × 8277) / 3
LCM(8259,8277) = 68359743 / 3
LCM(8259,8277) = 22786581

Least Common Multiple (LCM) of 8259 and 8277 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8259 and 8277. First we will calculate the prime factors of 8259 and 8277.

Prime Factorization of 8259

Prime Factorization of 8277

Now multiplying the highest exponent prime factors to calculate the LCM of 8259 and 8277.

LCM(8259,8277) = 3¹ × 2753¹ × 31¹ × 89¹
LCM(8259,8277) = 22786581