What is the Least Common Multiple of 78789 and 78800?

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 78789 and 78800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78789 and 78800, than apply into the LCM equation.

GCF(78789,78800) = 1
LCM(78789,78800) = ( 78789 × 78800) / 1
LCM(78789,78800) = 6208573200 / 1
LCM(78789,78800) = 6208573200

Least Common Multiple (LCM) of 78789 and 78800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78789 and 78800. First we will calculate the prime factors of 78789 and 78800.

Prime Factorization of 78789

Prime Factorization of 78800

Now multiplying the highest exponent prime factors to calculate the LCM of 78789 and 78800.

LCM(78789,78800) = 3¹ × 26263¹ × 2⁴ × 5² × 197¹
LCM(78789,78800) = 6208573200