What is the Least Common Multiple of 20892 and 20900?

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 20892 and 20900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20892 and 20900, than apply into the LCM equation.

GCF(20892,20900) = 4
LCM(20892,20900) = ( 20892 × 20900) / 4
LCM(20892,20900) = 436642800 / 4
LCM(20892,20900) = 109160700

Least Common Multiple (LCM) of 20892 and 20900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20892 and 20900. First we will calculate the prime factors of 20892 and 20900.

Prime Factorization of 20892

Prime Factorization of 20900

Now multiplying the highest exponent prime factors to calculate the LCM of 20892 and 20900.

LCM(20892,20900) = 2² × 3¹ × 1741¹ × 5² × 11¹ × 19¹
LCM(20892,20900) = 109160700