What is the Least Common Multiple of 21256 and 21274?

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 21256 and 21274 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21256 and 21274, than apply into the LCM equation.

GCF(21256,21274) = 2
LCM(21256,21274) = ( 21256 × 21274) / 2
LCM(21256,21274) = 452200144 / 2
LCM(21256,21274) = 226100072

Least Common Multiple (LCM) of 21256 and 21274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21256 and 21274. First we will calculate the prime factors of 21256 and 21274.

Prime Factorization of 21256

Prime Factorization of 21274

Now multiplying the highest exponent prime factors to calculate the LCM of 21256 and 21274.

LCM(21256,21274) = 2³ × 2657¹ × 11¹ × 967¹
LCM(21256,21274) = 226100072