What is the Least Common Multiple of 65792 and 65800?

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 65792 and 65800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65792 and 65800, than apply into the LCM equation.

GCF(65792,65800) = 8
LCM(65792,65800) = ( 65792 × 65800) / 8
LCM(65792,65800) = 4329113600 / 8
LCM(65792,65800) = 541139200

Least Common Multiple (LCM) of 65792 and 65800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65792 and 65800. First we will calculate the prime factors of 65792 and 65800.

Prime Factorization of 65792

Prime Factorization of 65800

Now multiplying the highest exponent prime factors to calculate the LCM of 65792 and 65800.

LCM(65792,65800) = 2⁸ × 257¹ × 5² × 7¹ × 47¹
LCM(65792,65800) = 541139200