What is the Least Common Multiple of 86944 and 86951?

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 86951 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 86951, than apply into the LCM equation.

GCF(86944,86951) = 1
LCM(86944,86951) = ( 86944 × 86951) / 1
LCM(86944,86951) = 7559867744 / 1
LCM(86944,86951) = 7559867744

Least Common Multiple (LCM) of 86944 and 86951 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86944 and 86951. First we will calculate the prime factors of 86944 and 86951.

Prime Factorization of 86944

Prime Factorization of 86951

Now multiplying the highest exponent prime factors to calculate the LCM of 86944 and 86951.

LCM(86944,86951) = 2⁵ × 11¹ × 13¹ × 19¹ × 86951¹
LCM(86944,86951) = 7559867744