What is the Least Common Multiple of 43116 and 43120?

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 43116 and 43120 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43116 and 43120, than apply into the LCM equation.

GCF(43116,43120) = 4
LCM(43116,43120) = ( 43116 × 43120) / 4
LCM(43116,43120) = 1859161920 / 4
LCM(43116,43120) = 464790480

Least Common Multiple (LCM) of 43116 and 43120 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43116 and 43120. First we will calculate the prime factors of 43116 and 43120.

Prime Factorization of 43116

Prime Factorization of 43120

Now multiplying the highest exponent prime factors to calculate the LCM of 43116 and 43120.

LCM(43116,43120) = 2⁴ × 3¹ × 3593¹ × 5¹ × 7² × 11¹
LCM(43116,43120) = 464790480