What is the Least Common Multiple of 21889 and 21900?

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 21889 and 21900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21889 and 21900, than apply into the LCM equation.

GCF(21889,21900) = 1
LCM(21889,21900) = ( 21889 × 21900) / 1
LCM(21889,21900) = 479369100 / 1
LCM(21889,21900) = 479369100

Least Common Multiple (LCM) of 21889 and 21900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21889 and 21900. First we will calculate the prime factors of 21889 and 21900.

Prime Factorization of 21889

Prime Factorization of 21900

Now multiplying the highest exponent prime factors to calculate the LCM of 21889 and 21900.

LCM(21889,21900) = 7¹ × 53¹ × 59¹ × 2² × 3¹ × 5² × 73¹
LCM(21889,21900) = 479369100