What is the Least Common Multiple of 86944 and 86962?

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 86962 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 86962, than apply into the LCM equation.

GCF(86944,86962) = 2
LCM(86944,86962) = ( 86944 × 86962) / 2
LCM(86944,86962) = 7560824128 / 2
LCM(86944,86962) = 3780412064

Least Common Multiple (LCM) of 86944 and 86962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86944 and 86962. First we will calculate the prime factors of 86944 and 86962.

Prime Factorization of 86944

Prime Factorization of 86962

Now multiplying the highest exponent prime factors to calculate the LCM of 86944 and 86962.

LCM(86944,86962) = 2⁵ × 11¹ × 13¹ × 19¹ × 43481¹
LCM(86944,86962) = 3780412064