What is the Least Common Multiple of 88543 and 88549?

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 88543 and 88549 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88543 and 88549, than apply into the LCM equation.

GCF(88543,88549) = 1
LCM(88543,88549) = ( 88543 × 88549) / 1
LCM(88543,88549) = 7840394107 / 1
LCM(88543,88549) = 7840394107

Least Common Multiple (LCM) of 88543 and 88549 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88543 and 88549. First we will calculate the prime factors of 88543 and 88549.

Prime Factorization of 88543

Prime Factorization of 88549

Now multiplying the highest exponent prime factors to calculate the LCM of 88543 and 88549.

LCM(88543,88549) = 7² × 13¹ × 139¹ × 73¹ × 1213¹
LCM(88543,88549) = 7840394107