What is the Least Common Multiple of 42784 and 42799?

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 42784 and 42799 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42784 and 42799, than apply into the LCM equation.

GCF(42784,42799) = 1
LCM(42784,42799) = ( 42784 × 42799) / 1
LCM(42784,42799) = 1831112416 / 1
LCM(42784,42799) = 1831112416

Least Common Multiple (LCM) of 42784 and 42799 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42784 and 42799. First we will calculate the prime factors of 42784 and 42799.

Prime Factorization of 42784

Prime Factorization of 42799

Now multiplying the highest exponent prime factors to calculate the LCM of 42784 and 42799.

LCM(42784,42799) = 2⁵ × 7¹ × 191¹ × 127¹ × 337¹
LCM(42784,42799) = 1831112416