What is the Least Common Multiple of 53856 and 53868?

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 53856 and 53868 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53856 and 53868, than apply into the LCM equation.

GCF(53856,53868) = 12
LCM(53856,53868) = ( 53856 × 53868) / 12
LCM(53856,53868) = 2901115008 / 12
LCM(53856,53868) = 241759584

Least Common Multiple (LCM) of 53856 and 53868 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53856 and 53868. First we will calculate the prime factors of 53856 and 53868.

Prime Factorization of 53856

Prime Factorization of 53868

Now multiplying the highest exponent prime factors to calculate the LCM of 53856 and 53868.

LCM(53856,53868) = 2⁵ × 3² × 11¹ × 17¹ × 67²
LCM(53856,53868) = 241759584