What is the Least Common Multiple of 42800 and 42819?

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 42800 and 42819 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42800 and 42819, than apply into the LCM equation.

GCF(42800,42819) = 1
LCM(42800,42819) = ( 42800 × 42819) / 1
LCM(42800,42819) = 1832653200 / 1
LCM(42800,42819) = 1832653200

Least Common Multiple (LCM) of 42800 and 42819 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42800 and 42819. First we will calculate the prime factors of 42800 and 42819.

Prime Factorization of 42800

Prime Factorization of 42819

Now multiplying the highest exponent prime factors to calculate the LCM of 42800 and 42819.

LCM(42800,42819) = 2⁴ × 5² × 107¹ × 3¹ × 7¹ × 2039¹
LCM(42800,42819) = 1832653200