What is the Least Common Multiple of 80832 and 80836?

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 80832 and 80836 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80832 and 80836, than apply into the LCM equation.

GCF(80832,80836) = 4
LCM(80832,80836) = ( 80832 × 80836) / 4
LCM(80832,80836) = 6534135552 / 4
LCM(80832,80836) = 1633533888

Least Common Multiple (LCM) of 80832 and 80836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80832 and 80836. First we will calculate the prime factors of 80832 and 80836.

Prime Factorization of 80832

Prime Factorization of 80836

Now multiplying the highest exponent prime factors to calculate the LCM of 80832 and 80836.

LCM(80832,80836) = 2⁶ × 3¹ × 421¹ × 7¹ × 2887¹
LCM(80832,80836) = 1633533888