What is the Least Common Multiple of 43040 and 43052?

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 43040 and 43052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43040 and 43052, than apply into the LCM equation.

GCF(43040,43052) = 4
LCM(43040,43052) = ( 43040 × 43052) / 4
LCM(43040,43052) = 1852958080 / 4
LCM(43040,43052) = 463239520

Least Common Multiple (LCM) of 43040 and 43052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43040 and 43052. First we will calculate the prime factors of 43040 and 43052.

Prime Factorization of 43040

Prime Factorization of 43052

Now multiplying the highest exponent prime factors to calculate the LCM of 43040 and 43052.

LCM(43040,43052) = 2⁵ × 5¹ × 269¹ × 47¹ × 229¹
LCM(43040,43052) = 463239520