What is the Least Common Multiple of 43890 and 43905?

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 43905 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 43905, than apply into the LCM equation.

GCF(43890,43905) = 15
LCM(43890,43905) = ( 43890 × 43905) / 15
LCM(43890,43905) = 1926990450 / 15
LCM(43890,43905) = 128466030

Least Common Multiple (LCM) of 43890 and 43905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43890 and 43905. First we will calculate the prime factors of 43890 and 43905.

Prime Factorization of 43890

Prime Factorization of 43905

Now multiplying the highest exponent prime factors to calculate the LCM of 43890 and 43905.

LCM(43890,43905) = 2¹ × 3¹ × 5¹ × 7¹ × 11¹ × 19¹ × 2927¹
LCM(43890,43905) = 128466030