What is the Least Common Multiple of 42784 and 42796?

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 42796 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 42796, than apply into the LCM equation.

GCF(42784,42796) = 4
LCM(42784,42796) = ( 42784 × 42796) / 4
LCM(42784,42796) = 1830984064 / 4
LCM(42784,42796) = 457746016

Least Common Multiple (LCM) of 42784 and 42796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42784 and 42796. First we will calculate the prime factors of 42784 and 42796.

Prime Factorization of 42784

Prime Factorization of 42796

Now multiplying the highest exponent prime factors to calculate the LCM of 42784 and 42796.

LCM(42784,42796) = 2⁵ × 7¹ × 191¹ × 13¹ × 823¹
LCM(42784,42796) = 457746016