What is the Least Common Multiple of 27284 and 27292?

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 27284 and 27292 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27284 and 27292, than apply into the LCM equation.

GCF(27284,27292) = 4
LCM(27284,27292) = ( 27284 × 27292) / 4
LCM(27284,27292) = 744634928 / 4
LCM(27284,27292) = 186158732

Least Common Multiple (LCM) of 27284 and 27292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27284 and 27292. First we will calculate the prime factors of 27284 and 27292.

Prime Factorization of 27284

Prime Factorization of 27292

Now multiplying the highest exponent prime factors to calculate the LCM of 27284 and 27292.

LCM(27284,27292) = 2² × 19¹ × 359¹ × 6823¹
LCM(27284,27292) = 186158732