What is the Least Common Multiple of 21253 and 21269?

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 21253 and 21269 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21253 and 21269, than apply into the LCM equation.

GCF(21253,21269) = 1
LCM(21253,21269) = ( 21253 × 21269) / 1
LCM(21253,21269) = 452030057 / 1
LCM(21253,21269) = 452030057

Least Common Multiple (LCM) of 21253 and 21269 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21253 and 21269. First we will calculate the prime factors of 21253 and 21269.

Prime Factorization of 21253

Prime Factorization of 21269

Now multiplying the highest exponent prime factors to calculate the LCM of 21253 and 21269.

LCM(21253,21269) = 53¹ × 401¹ × 21269¹
LCM(21253,21269) = 452030057