What is the Least Common Multiple of 20788 and 20800?

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 20788 and 20800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20788 and 20800, than apply into the LCM equation.

GCF(20788,20800) = 4
LCM(20788,20800) = ( 20788 × 20800) / 4
LCM(20788,20800) = 432390400 / 4
LCM(20788,20800) = 108097600

Least Common Multiple (LCM) of 20788 and 20800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20788 and 20800. First we will calculate the prime factors of 20788 and 20800.

Prime Factorization of 20788

Prime Factorization of 20800

Now multiplying the highest exponent prime factors to calculate the LCM of 20788 and 20800.

LCM(20788,20800) = 2⁶ × 5197¹ × 5² × 13¹
LCM(20788,20800) = 108097600