What is the Least Common Multiple of 94848 and 94854?

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 94848 and 94854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94848 and 94854, than apply into the LCM equation.

GCF(94848,94854) = 6
LCM(94848,94854) = ( 94848 × 94854) / 6
LCM(94848,94854) = 8996712192 / 6
LCM(94848,94854) = 1499452032

Least Common Multiple (LCM) of 94848 and 94854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94848 and 94854. First we will calculate the prime factors of 94848 and 94854.

Prime Factorization of 94848

Prime Factorization of 94854

Now multiplying the highest exponent prime factors to calculate the LCM of 94848 and 94854.

LCM(94848,94854) = 2⁷ × 3¹ × 13¹ × 19¹ × 15809¹
LCM(94848,94854) = 1499452032