What is the Least Common Multiple of 21274 and 21293?

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 21274 and 21293 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21274 and 21293, than apply into the LCM equation.

GCF(21274,21293) = 1
LCM(21274,21293) = ( 21274 × 21293) / 1
LCM(21274,21293) = 452987282 / 1
LCM(21274,21293) = 452987282

Least Common Multiple (LCM) of 21274 and 21293 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21274 and 21293. First we will calculate the prime factors of 21274 and 21293.

Prime Factorization of 21274

Prime Factorization of 21293

Now multiplying the highest exponent prime factors to calculate the LCM of 21274 and 21293.

LCM(21274,21293) = 2¹ × 11¹ × 967¹ × 107¹ × 199¹
LCM(21274,21293) = 452987282