What is the Least Common Multiple of 20900 and 20919?

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 20900 and 20919 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20900 and 20919, than apply into the LCM equation.

GCF(20900,20919) = 19
LCM(20900,20919) = ( 20900 × 20919) / 19
LCM(20900,20919) = 437207100 / 19
LCM(20900,20919) = 23010900

Least Common Multiple (LCM) of 20900 and 20919 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20900 and 20919. First we will calculate the prime factors of 20900 and 20919.

Prime Factorization of 20900

Prime Factorization of 20919

Now multiplying the highest exponent prime factors to calculate the LCM of 20900 and 20919.

LCM(20900,20919) = 2² × 5² × 11¹ × 19¹ × 3¹ × 367¹
LCM(20900,20919) = 23010900