What is the Least Common Multiple of 43435 and 43449?

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 43435 and 43449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43435 and 43449, than apply into the LCM equation.

GCF(43435,43449) = 7
LCM(43435,43449) = ( 43435 × 43449) / 7
LCM(43435,43449) = 1887207315 / 7
LCM(43435,43449) = 269601045

Least Common Multiple (LCM) of 43435 and 43449 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43435 and 43449. First we will calculate the prime factors of 43435 and 43449.

Prime Factorization of 43435

Prime Factorization of 43449

Now multiplying the highest exponent prime factors to calculate the LCM of 43435 and 43449.

LCM(43435,43449) = 5¹ × 7¹ × 17¹ × 73¹ × 3¹ × 2069¹
LCM(43435,43449) = 269601045