What is the Least Common Multiple of 21905 and 21919?

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 21905 and 21919 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21905 and 21919, than apply into the LCM equation.

GCF(21905,21919) = 1
LCM(21905,21919) = ( 21905 × 21919) / 1
LCM(21905,21919) = 480135695 / 1
LCM(21905,21919) = 480135695

Least Common Multiple (LCM) of 21905 and 21919 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21905 and 21919. First we will calculate the prime factors of 21905 and 21919.

Prime Factorization of 21905

Prime Factorization of 21919

Now multiplying the highest exponent prime factors to calculate the LCM of 21905 and 21919.

LCM(21905,21919) = 5¹ × 13¹ × 337¹ × 23¹ × 953¹
LCM(21905,21919) = 480135695