What is the Least Common Multiple of 21229 and 21247?

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 21229 and 21247 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21229 and 21247, than apply into the LCM equation.

GCF(21229,21247) = 1
LCM(21229,21247) = ( 21229 × 21247) / 1
LCM(21229,21247) = 451052563 / 1
LCM(21229,21247) = 451052563

Least Common Multiple (LCM) of 21229 and 21247 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21229 and 21247. First we will calculate the prime factors of 21229 and 21247.

Prime Factorization of 21229

Prime Factorization of 21247

Now multiplying the highest exponent prime factors to calculate the LCM of 21229 and 21247.

LCM(21229,21247) = 13¹ × 23¹ × 71¹ × 21247¹
LCM(21229,21247) = 451052563