What is the Least Common Multiple of 43520 and 43538?

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 43520 and 43538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43520 and 43538, than apply into the LCM equation.

GCF(43520,43538) = 2
LCM(43520,43538) = ( 43520 × 43538) / 2
LCM(43520,43538) = 1894773760 / 2
LCM(43520,43538) = 947386880

Least Common Multiple (LCM) of 43520 and 43538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43520 and 43538. First we will calculate the prime factors of 43520 and 43538.

Prime Factorization of 43520

Prime Factorization of 43538

Now multiplying the highest exponent prime factors to calculate the LCM of 43520 and 43538.

LCM(43520,43538) = 2⁹ × 5¹ × 17¹ × 11¹ × 1979¹
LCM(43520,43538) = 947386880