What is the Least Common Multiple of 42784 and 42800?

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 42800 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 42800, than apply into the LCM equation.

GCF(42784,42800) = 16
LCM(42784,42800) = ( 42784 × 42800) / 16
LCM(42784,42800) = 1831155200 / 16
LCM(42784,42800) = 114447200

Least Common Multiple (LCM) of 42784 and 42800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42784 and 42800. First we will calculate the prime factors of 42784 and 42800.

Prime Factorization of 42784

Prime Factorization of 42800

Now multiplying the highest exponent prime factors to calculate the LCM of 42784 and 42800.

LCM(42784,42800) = 2⁵ × 7¹ × 191¹ × 5² × 107¹
LCM(42784,42800) = 114447200