What is the Least Common Multiple of 92752 and 92768?

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 92752 and 92768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92752 and 92768, than apply into the LCM equation.

GCF(92752,92768) = 16
LCM(92752,92768) = ( 92752 × 92768) / 16
LCM(92752,92768) = 8604417536 / 16
LCM(92752,92768) = 537776096

Least Common Multiple (LCM) of 92752 and 92768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92752 and 92768. First we will calculate the prime factors of 92752 and 92768.

Prime Factorization of 92752

Prime Factorization of 92768

Now multiplying the highest exponent prime factors to calculate the LCM of 92752 and 92768.

LCM(92752,92768) = 2⁵ × 11¹ × 17¹ × 31¹ × 13¹ × 223¹
LCM(92752,92768) = 537776096