What is the Least Common Multiple of 42800 and 42812?

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 42812 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 42812, than apply into the LCM equation.

GCF(42800,42812) = 4
LCM(42800,42812) = ( 42800 × 42812) / 4
LCM(42800,42812) = 1832353600 / 4
LCM(42800,42812) = 458088400

Least Common Multiple (LCM) of 42800 and 42812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42800 and 42812. First we will calculate the prime factors of 42800 and 42812.

Prime Factorization of 42800

Prime Factorization of 42812

Now multiplying the highest exponent prime factors to calculate the LCM of 42800 and 42812.

LCM(42800,42812) = 2⁴ × 5² × 107¹ × 7¹ × 11¹ × 139¹
LCM(42800,42812) = 458088400