What is the Least Common Multiple of 43505 and 43516?

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 43505 and 43516 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43505 and 43516, than apply into the LCM equation.

GCF(43505,43516) = 11
LCM(43505,43516) = ( 43505 × 43516) / 11
LCM(43505,43516) = 1893163580 / 11
LCM(43505,43516) = 172105780

Least Common Multiple (LCM) of 43505 and 43516 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43505 and 43516. First we will calculate the prime factors of 43505 and 43516.

Prime Factorization of 43505

Prime Factorization of 43516

Now multiplying the highest exponent prime factors to calculate the LCM of 43505 and 43516.

LCM(43505,43516) = 5¹ × 7¹ × 11¹ × 113¹ × 2² × 23¹ × 43¹
LCM(43505,43516) = 172105780