What is the Least Common Multiple of 42800 and 42814?

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 42814 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 42814, than apply into the LCM equation.

GCF(42800,42814) = 2
LCM(42800,42814) = ( 42800 × 42814) / 2
LCM(42800,42814) = 1832439200 / 2
LCM(42800,42814) = 916219600

Least Common Multiple (LCM) of 42800 and 42814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42800 and 42814. First we will calculate the prime factors of 42800 and 42814.

Prime Factorization of 42800

Prime Factorization of 42814

Now multiplying the highest exponent prime factors to calculate the LCM of 42800 and 42814.

LCM(42800,42814) = 2⁴ × 5² × 107¹ × 21407¹
LCM(42800,42814) = 916219600