What is the Least Common Multiple of 8908 and 8927?

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 8908 and 8927 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8908 and 8927, than apply into the LCM equation.

GCF(8908,8927) = 1
LCM(8908,8927) = ( 8908 × 8927) / 1
LCM(8908,8927) = 79521716 / 1
LCM(8908,8927) = 79521716

Least Common Multiple (LCM) of 8908 and 8927 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8908 and 8927. First we will calculate the prime factors of 8908 and 8927.

Prime Factorization of 8908

Prime Factorization of 8927

Now multiplying the highest exponent prime factors to calculate the LCM of 8908 and 8927.

LCM(8908,8927) = 2² × 17¹ × 131¹ × 79¹ × 113¹
LCM(8908,8927) = 79521716