What is the Least Common Multiple of 86848 and 86868?

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 86848 and 86868 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86848 and 86868, than apply into the LCM equation.

GCF(86848,86868) = 4
LCM(86848,86868) = ( 86848 × 86868) / 4
LCM(86848,86868) = 7544312064 / 4
LCM(86848,86868) = 1886078016

Least Common Multiple (LCM) of 86848 and 86868 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86848 and 86868. First we will calculate the prime factors of 86848 and 86868.

Prime Factorization of 86848

Prime Factorization of 86868

Now multiplying the highest exponent prime factors to calculate the LCM of 86848 and 86868.

LCM(86848,86868) = 2⁶ × 23¹ × 59¹ × 3² × 19¹ × 127¹
LCM(86848,86868) = 1886078016