What is the Least Common Multiple of 86944 and 86963?

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 86944 and 86963 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86944 and 86963, than apply into the LCM equation.

GCF(86944,86963) = 19
LCM(86944,86963) = ( 86944 × 86963) / 19
LCM(86944,86963) = 7560911072 / 19
LCM(86944,86963) = 397942688

Least Common Multiple (LCM) of 86944 and 86963 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86944 and 86963. First we will calculate the prime factors of 86944 and 86963.

Prime Factorization of 86944

Prime Factorization of 86963

Now multiplying the highest exponent prime factors to calculate the LCM of 86944 and 86963.

LCM(86944,86963) = 2⁵ × 11¹ × 13¹ × 19¹ × 23¹ × 199¹
LCM(86944,86963) = 397942688