What is the Least Common Multiple of 43545 and 43550?

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 43545 and 43550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43545 and 43550, than apply into the LCM equation.

GCF(43545,43550) = 5
LCM(43545,43550) = ( 43545 × 43550) / 5
LCM(43545,43550) = 1896384750 / 5
LCM(43545,43550) = 379276950

Least Common Multiple (LCM) of 43545 and 43550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43545 and 43550. First we will calculate the prime factors of 43545 and 43550.

Prime Factorization of 43545

Prime Factorization of 43550

Now multiplying the highest exponent prime factors to calculate the LCM of 43545 and 43550.

LCM(43545,43550) = 3¹ × 5² × 2903¹ × 2¹ × 13¹ × 67¹
LCM(43545,43550) = 379276950