What is the Least Common Multiple of 89752 and 89758?

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 89752 and 89758 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89752 and 89758, than apply into the LCM equation.

GCF(89752,89758) = 2
LCM(89752,89758) = ( 89752 × 89758) / 2
LCM(89752,89758) = 8055960016 / 2
LCM(89752,89758) = 4027980008

Least Common Multiple (LCM) of 89752 and 89758 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89752 and 89758. First we will calculate the prime factors of 89752 and 89758.

Prime Factorization of 89752

Prime Factorization of 89758

Now multiplying the highest exponent prime factors to calculate the LCM of 89752 and 89758.

LCM(89752,89758) = 2³ × 13¹ × 863¹ × 44879¹
LCM(89752,89758) = 4027980008