What is the Least Common Multiple of 43508 and 43515?

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 43508 and 43515 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43508 and 43515, than apply into the LCM equation.

GCF(43508,43515) = 1
LCM(43508,43515) = ( 43508 × 43515) / 1
LCM(43508,43515) = 1893250620 / 1
LCM(43508,43515) = 1893250620

Least Common Multiple (LCM) of 43508 and 43515 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43508 and 43515. First we will calculate the prime factors of 43508 and 43515.

Prime Factorization of 43508

Prime Factorization of 43515

Now multiplying the highest exponent prime factors to calculate the LCM of 43508 and 43515.

LCM(43508,43515) = 2² × 73¹ × 149¹ × 3² × 5¹ × 967¹
LCM(43508,43515) = 1893250620