What is the Least Common Multiple of 21274 and 21278?

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 21278 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 21278, than apply into the LCM equation.

GCF(21274,21278) = 2
LCM(21274,21278) = ( 21274 × 21278) / 2
LCM(21274,21278) = 452668172 / 2
LCM(21274,21278) = 226334086

Least Common Multiple (LCM) of 21274 and 21278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21274 and 21278. First we will calculate the prime factors of 21274 and 21278.

Prime Factorization of 21274

Prime Factorization of 21278

Now multiplying the highest exponent prime factors to calculate the LCM of 21274 and 21278.

LCM(21274,21278) = 2¹ × 11¹ × 967¹ × 10639¹
LCM(21274,21278) = 226334086