What is the Least Common Multiple of 87792 and 87796?

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 87792 and 87796 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87792 and 87796, than apply into the LCM equation.

GCF(87792,87796) = 4
LCM(87792,87796) = ( 87792 × 87796) / 4
LCM(87792,87796) = 7707786432 / 4
LCM(87792,87796) = 1926946608

Least Common Multiple (LCM) of 87792 and 87796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87792 and 87796. First we will calculate the prime factors of 87792 and 87796.

Prime Factorization of 87792

Prime Factorization of 87796

Now multiplying the highest exponent prime factors to calculate the LCM of 87792 and 87796.

LCM(87792,87796) = 2⁴ × 3¹ × 31¹ × 59¹ × 47¹ × 467¹
LCM(87792,87796) = 1926946608