What is the Least Common Multiple of 89908 and 89927?

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 89908 and 89927 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89908 and 89927, than apply into the LCM equation.

GCF(89908,89927) = 19
LCM(89908,89927) = ( 89908 × 89927) / 19
LCM(89908,89927) = 8085156716 / 19
LCM(89908,89927) = 425534564

Least Common Multiple (LCM) of 89908 and 89927 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89908 and 89927. First we will calculate the prime factors of 89908 and 89927.

Prime Factorization of 89908

Prime Factorization of 89927

Now multiplying the highest exponent prime factors to calculate the LCM of 89908 and 89927.

LCM(89908,89927) = 2² × 7¹ × 13² × 19¹ × 4733¹
LCM(89908,89927) = 425534564