What is the Least Common Multiple of 43890 and 43900?

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 43890 and 43900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43890 and 43900, than apply into the LCM equation.

GCF(43890,43900) = 10
LCM(43890,43900) = ( 43890 × 43900) / 10
LCM(43890,43900) = 1926771000 / 10
LCM(43890,43900) = 192677100

Least Common Multiple (LCM) of 43890 and 43900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43890 and 43900. First we will calculate the prime factors of 43890 and 43900.

Prime Factorization of 43890

Prime Factorization of 43900

Now multiplying the highest exponent prime factors to calculate the LCM of 43890 and 43900.

LCM(43890,43900) = 2² × 3¹ × 5² × 7¹ × 11¹ × 19¹ × 439¹
LCM(43890,43900) = 192677100