What is the Least Common Multiple of 20919 and 20929?

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 20919 and 20929 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20919 and 20929, than apply into the LCM equation.

GCF(20919,20929) = 1
LCM(20919,20929) = ( 20919 × 20929) / 1
LCM(20919,20929) = 437813751 / 1
LCM(20919,20929) = 437813751

Least Common Multiple (LCM) of 20919 and 20929 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20919 and 20929. First we will calculate the prime factors of 20919 and 20929.

Prime Factorization of 20919

Prime Factorization of 20929

Now multiplying the highest exponent prime factors to calculate the LCM of 20919 and 20929.

LCM(20919,20929) = 3¹ × 19¹ × 367¹ × 20929¹
LCM(20919,20929) = 437813751