What is the Least Common Multiple of 21890 and 21905?

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 21890 and 21905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21890 and 21905, than apply into the LCM equation.

GCF(21890,21905) = 5
LCM(21890,21905) = ( 21890 × 21905) / 5
LCM(21890,21905) = 479500450 / 5
LCM(21890,21905) = 95900090

Least Common Multiple (LCM) of 21890 and 21905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21890 and 21905. First we will calculate the prime factors of 21890 and 21905.

Prime Factorization of 21890

Prime Factorization of 21905

Now multiplying the highest exponent prime factors to calculate the LCM of 21890 and 21905.

LCM(21890,21905) = 2¹ × 5¹ × 11¹ × 199¹ × 13¹ × 337¹
LCM(21890,21905) = 95900090