What is the Least Common Multiple of 97888 and 97894?

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 97894 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 97894, than apply into the LCM equation.

GCF(97888,97894) = 2
LCM(97888,97894) = ( 97888 × 97894) / 2
LCM(97888,97894) = 9582647872 / 2
LCM(97888,97894) = 4791323936

Least Common Multiple (LCM) of 97888 and 97894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97888 and 97894. First we will calculate the prime factors of 97888 and 97894.

Prime Factorization of 97888

Prime Factorization of 97894

Now multiplying the highest exponent prime factors to calculate the LCM of 97888 and 97894.

LCM(97888,97894) = 2⁵ × 7¹ × 19¹ × 23¹ × 48947¹
LCM(97888,97894) = 4791323936