What is the Least Common Multiple of 78784 and 78796?

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 78784 and 78796 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78784 and 78796, than apply into the LCM equation.

GCF(78784,78796) = 4
LCM(78784,78796) = ( 78784 × 78796) / 4
LCM(78784,78796) = 6207864064 / 4
LCM(78784,78796) = 1551966016

Least Common Multiple (LCM) of 78784 and 78796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78784 and 78796. First we will calculate the prime factors of 78784 and 78796.

Prime Factorization of 78784

Prime Factorization of 78796

Now multiplying the highest exponent prime factors to calculate the LCM of 78784 and 78796.

LCM(78784,78796) = 2⁶ × 1231¹ × 19699¹
LCM(78784,78796) = 1551966016