What is the Least Common Multiple of 71792 and 71800?

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 71792 and 71800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71792 and 71800, than apply into the LCM equation.

GCF(71792,71800) = 8
LCM(71792,71800) = ( 71792 × 71800) / 8
LCM(71792,71800) = 5154665600 / 8
LCM(71792,71800) = 644333200

Least Common Multiple (LCM) of 71792 and 71800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71792 and 71800. First we will calculate the prime factors of 71792 and 71800.

Prime Factorization of 71792

Prime Factorization of 71800

Now multiplying the highest exponent prime factors to calculate the LCM of 71792 and 71800.

LCM(71792,71800) = 2⁴ × 7¹ × 641¹ × 5² × 359¹
LCM(71792,71800) = 644333200