What is the Least Common Multiple of 27814 and 27830?

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 27814 and 27830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27814 and 27830, than apply into the LCM equation.

GCF(27814,27830) = 2
LCM(27814,27830) = ( 27814 × 27830) / 2
LCM(27814,27830) = 774063620 / 2
LCM(27814,27830) = 387031810

Least Common Multiple (LCM) of 27814 and 27830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27814 and 27830. First we will calculate the prime factors of 27814 and 27830.

Prime Factorization of 27814

Prime Factorization of 27830

Now multiplying the highest exponent prime factors to calculate the LCM of 27814 and 27830.

LCM(27814,27830) = 2¹ × 13907¹ × 5¹ × 11² × 23¹
LCM(27814,27830) = 387031810