What is the Least Common Multiple of 27914 and 27920?

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 27914 and 27920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27914 and 27920, than apply into the LCM equation.

GCF(27914,27920) = 2
LCM(27914,27920) = ( 27914 × 27920) / 2
LCM(27914,27920) = 779358880 / 2
LCM(27914,27920) = 389679440

Least Common Multiple (LCM) of 27914 and 27920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27914 and 27920. First we will calculate the prime factors of 27914 and 27920.

Prime Factorization of 27914

Prime Factorization of 27920

Now multiplying the highest exponent prime factors to calculate the LCM of 27914 and 27920.

LCM(27914,27920) = 2⁴ × 17¹ × 821¹ × 5¹ × 349¹
LCM(27914,27920) = 389679440