What is the Least Common Multiple of 92823 and 92832?

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 92823 and 92832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92823 and 92832, than apply into the LCM equation.

GCF(92823,92832) = 3
LCM(92823,92832) = ( 92823 × 92832) / 3
LCM(92823,92832) = 8616944736 / 3
LCM(92823,92832) = 2872314912

Least Common Multiple (LCM) of 92823 and 92832 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92823 and 92832. First we will calculate the prime factors of 92823 and 92832.

Prime Factorization of 92823

Prime Factorization of 92832

Now multiplying the highest exponent prime factors to calculate the LCM of 92823 and 92832.

LCM(92823,92832) = 3¹ × 30941¹ × 2⁵ × 967¹
LCM(92823,92832) = 2872314912