What is the Least Common Multiple of 20892 and 20906?

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 20906 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 20906, than apply into the LCM equation.

GCF(20892,20906) = 2
LCM(20892,20906) = ( 20892 × 20906) / 2
LCM(20892,20906) = 436768152 / 2
LCM(20892,20906) = 218384076

Least Common Multiple (LCM) of 20892 and 20906 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20892 and 20906. First we will calculate the prime factors of 20892 and 20906.

Prime Factorization of 20892

Prime Factorization of 20906

Now multiplying the highest exponent prime factors to calculate the LCM of 20892 and 20906.

LCM(20892,20906) = 2² × 3¹ × 1741¹ × 10453¹
LCM(20892,20906) = 218384076