What is the Least Common Multiple of 8800 and 8813?

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 8800 and 8813 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8800 and 8813, than apply into the LCM equation.

GCF(8800,8813) = 1
LCM(8800,8813) = ( 8800 × 8813) / 1
LCM(8800,8813) = 77554400 / 1
LCM(8800,8813) = 77554400

Least Common Multiple (LCM) of 8800 and 8813 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8800 and 8813. First we will calculate the prime factors of 8800 and 8813.

Prime Factorization of 8800

Prime Factorization of 8813

Now multiplying the highest exponent prime factors to calculate the LCM of 8800 and 8813.

LCM(8800,8813) = 2⁵ × 5² × 11¹ × 7¹ × 1259¹
LCM(8800,8813) = 77554400