What is the Least Common Multiple of 97888 and 97900?

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 97888 and 97900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97888 and 97900, than apply into the LCM equation.

GCF(97888,97900) = 4
LCM(97888,97900) = ( 97888 × 97900) / 4
LCM(97888,97900) = 9583235200 / 4
LCM(97888,97900) = 2395808800

Least Common Multiple (LCM) of 97888 and 97900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97888 and 97900. First we will calculate the prime factors of 97888 and 97900.

Prime Factorization of 97888

Prime Factorization of 97900

Now multiplying the highest exponent prime factors to calculate the LCM of 97888 and 97900.

LCM(97888,97900) = 2⁵ × 7¹ × 19¹ × 23¹ × 5² × 11¹ × 89¹
LCM(97888,97900) = 2395808800