What is the Least Common Multiple of 94833 and 94848?

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 94833 and 94848 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94833 and 94848, than apply into the LCM equation.

GCF(94833,94848) = 3
LCM(94833,94848) = ( 94833 × 94848) / 3
LCM(94833,94848) = 8994720384 / 3
LCM(94833,94848) = 2998240128

Least Common Multiple (LCM) of 94833 and 94848 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94833 and 94848. First we will calculate the prime factors of 94833 and 94848.

Prime Factorization of 94833

Prime Factorization of 94848

Now multiplying the highest exponent prime factors to calculate the LCM of 94833 and 94848.

LCM(94833,94848) = 3² × 41¹ × 257¹ × 2⁷ × 13¹ × 19¹
LCM(94833,94848) = 2998240128