What is the Least Common Multiple of 32788 and 32800?

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 32788 and 32800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32788 and 32800, than apply into the LCM equation.

GCF(32788,32800) = 4
LCM(32788,32800) = ( 32788 × 32800) / 4
LCM(32788,32800) = 1075446400 / 4
LCM(32788,32800) = 268861600

Least Common Multiple (LCM) of 32788 and 32800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32788 and 32800. First we will calculate the prime factors of 32788 and 32800.

Prime Factorization of 32788

Prime Factorization of 32800

Now multiplying the highest exponent prime factors to calculate the LCM of 32788 and 32800.

LCM(32788,32800) = 2⁵ × 7¹ × 1171¹ × 5² × 41¹
LCM(32788,32800) = 268861600