What is the Least Common Multiple of 8789 and 8800?

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 8789 and 8800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8789 and 8800, than apply into the LCM equation.

GCF(8789,8800) = 11
LCM(8789,8800) = ( 8789 × 8800) / 11
LCM(8789,8800) = 77343200 / 11
LCM(8789,8800) = 7031200

Least Common Multiple (LCM) of 8789 and 8800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8789 and 8800. First we will calculate the prime factors of 8789 and 8800.

Prime Factorization of 8789

Prime Factorization of 8800

Now multiplying the highest exponent prime factors to calculate the LCM of 8789 and 8800.

LCM(8789,8800) = 11¹ × 17¹ × 47¹ × 2⁵ × 5²
LCM(8789,8800) = 7031200