What is the Least Common Multiple of 86944 and 86948?

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 86948 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 86948, than apply into the LCM equation.

GCF(86944,86948) = 4
LCM(86944,86948) = ( 86944 × 86948) / 4
LCM(86944,86948) = 7559606912 / 4
LCM(86944,86948) = 1889901728

Least Common Multiple (LCM) of 86944 and 86948 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86944 and 86948. First we will calculate the prime factors of 86944 and 86948.

Prime Factorization of 86944

Prime Factorization of 86948

Now multiplying the highest exponent prime factors to calculate the LCM of 86944 and 86948.

LCM(86944,86948) = 2⁵ × 11¹ × 13¹ × 19¹ × 21737¹
LCM(86944,86948) = 1889901728