What is the Least Common Multiple of 43072 and 43082?

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 43072 and 43082 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43072 and 43082, than apply into the LCM equation.

GCF(43072,43082) = 2
LCM(43072,43082) = ( 43072 × 43082) / 2
LCM(43072,43082) = 1855627904 / 2
LCM(43072,43082) = 927813952

Least Common Multiple (LCM) of 43072 and 43082 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43072 and 43082. First we will calculate the prime factors of 43072 and 43082.

Prime Factorization of 43072

Prime Factorization of 43082

Now multiplying the highest exponent prime factors to calculate the LCM of 43072 and 43082.

LCM(43072,43082) = 2⁶ × 673¹ × 13¹ × 1657¹
LCM(43072,43082) = 927813952