What is the Least Common Multiple of 86752 and 86762?

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 86752 and 86762 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86752 and 86762, than apply into the LCM equation.

GCF(86752,86762) = 2
LCM(86752,86762) = ( 86752 × 86762) / 2
LCM(86752,86762) = 7526777024 / 2
LCM(86752,86762) = 3763388512

Least Common Multiple (LCM) of 86752 and 86762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86752 and 86762. First we will calculate the prime factors of 86752 and 86762.

Prime Factorization of 86752

Prime Factorization of 86762

Now multiplying the highest exponent prime factors to calculate the LCM of 86752 and 86762.

LCM(86752,86762) = 2⁵ × 2711¹ × 13¹ × 47¹ × 71¹
LCM(86752,86762) = 3763388512