What is the Least Common Multiple of 97848 and 97863?

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 97848 and 97863 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97848 and 97863, than apply into the LCM equation.

GCF(97848,97863) = 3
LCM(97848,97863) = ( 97848 × 97863) / 3
LCM(97848,97863) = 9575698824 / 3
LCM(97848,97863) = 3191899608

Least Common Multiple (LCM) of 97848 and 97863 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97848 and 97863. First we will calculate the prime factors of 97848 and 97863.

Prime Factorization of 97848

Prime Factorization of 97863

Now multiplying the highest exponent prime factors to calculate the LCM of 97848 and 97863.

LCM(97848,97863) = 2³ × 3⁴ × 151¹ × 32621¹
LCM(97848,97863) = 3191899608