What is the Least Common Multiple of 43120 and 43134?

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 43120 and 43134 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43120 and 43134, than apply into the LCM equation.

GCF(43120,43134) = 14
LCM(43120,43134) = ( 43120 × 43134) / 14
LCM(43120,43134) = 1859938080 / 14
LCM(43120,43134) = 132852720

Least Common Multiple (LCM) of 43120 and 43134 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43120 and 43134. First we will calculate the prime factors of 43120 and 43134.

Prime Factorization of 43120

Prime Factorization of 43134

Now multiplying the highest exponent prime factors to calculate the LCM of 43120 and 43134.

LCM(43120,43134) = 2⁴ × 5¹ × 7² × 11¹ × 3¹ × 13¹ × 79¹
LCM(43120,43134) = 132852720