What is the Least Common Multiple of 83792 and 83796?

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 83792 and 83796 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83792 and 83796, than apply into the LCM equation.

GCF(83792,83796) = 4
LCM(83792,83796) = ( 83792 × 83796) / 4
LCM(83792,83796) = 7021434432 / 4
LCM(83792,83796) = 1755358608

Least Common Multiple (LCM) of 83792 and 83796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83792 and 83796. First we will calculate the prime factors of 83792 and 83796.

Prime Factorization of 83792

Prime Factorization of 83796

Now multiplying the highest exponent prime factors to calculate the LCM of 83792 and 83796.

LCM(83792,83796) = 2⁴ × 5237¹ × 3¹ × 6983¹
LCM(83792,83796) = 1755358608