What is the Least Common Multiple of 20905 and 20923?

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 20905 and 20923 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20905 and 20923, than apply into the LCM equation.

GCF(20905,20923) = 1
LCM(20905,20923) = ( 20905 × 20923) / 1
LCM(20905,20923) = 437395315 / 1
LCM(20905,20923) = 437395315

Least Common Multiple (LCM) of 20905 and 20923 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20905 and 20923. First we will calculate the prime factors of 20905 and 20923.

Prime Factorization of 20905

Prime Factorization of 20923

Now multiplying the highest exponent prime factors to calculate the LCM of 20905 and 20923.

LCM(20905,20923) = 5¹ × 37¹ × 113¹ × 7³ × 61¹
LCM(20905,20923) = 437395315