What is the Least Common Multiple of 42800 and 42807?

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 42807 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 42807, than apply into the LCM equation.

GCF(42800,42807) = 1
LCM(42800,42807) = ( 42800 × 42807) / 1
LCM(42800,42807) = 1832139600 / 1
LCM(42800,42807) = 1832139600

Least Common Multiple (LCM) of 42800 and 42807 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42800 and 42807. First we will calculate the prime factors of 42800 and 42807.

Prime Factorization of 42800

Prime Factorization of 42807

Now multiplying the highest exponent prime factors to calculate the LCM of 42800 and 42807.

LCM(42800,42807) = 2⁴ × 5² × 107¹ × 3¹ × 19¹ × 751¹
LCM(42800,42807) = 1832139600