What is the Least Common Multiple of 92752 and 92758?

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 92758 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 92758, than apply into the LCM equation.

GCF(92752,92758) = 2
LCM(92752,92758) = ( 92752 × 92758) / 2
LCM(92752,92758) = 8603490016 / 2
LCM(92752,92758) = 4301745008

Least Common Multiple (LCM) of 92752 and 92758 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92752 and 92758. First we will calculate the prime factors of 92752 and 92758.

Prime Factorization of 92752

Prime Factorization of 92758

Now multiplying the highest exponent prime factors to calculate the LCM of 92752 and 92758.

LCM(92752,92758) = 2⁴ × 11¹ × 17¹ × 31¹ × 19¹ × 2441¹
LCM(92752,92758) = 4301745008