What is the Least Common Multiple of 21236 and 21241?

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 21236 and 21241 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21236 and 21241, than apply into the LCM equation.

GCF(21236,21241) = 1
LCM(21236,21241) = ( 21236 × 21241) / 1
LCM(21236,21241) = 451073876 / 1
LCM(21236,21241) = 451073876

Least Common Multiple (LCM) of 21236 and 21241 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21236 and 21241. First we will calculate the prime factors of 21236 and 21241.

Prime Factorization of 21236

Prime Factorization of 21241

Now multiplying the highest exponent prime factors to calculate the LCM of 21236 and 21241.

LCM(21236,21241) = 2² × 5309¹ × 11¹ × 1931¹
LCM(21236,21241) = 451073876