What is the Least Common Multiple of 27920 and 27938?

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 27920 and 27938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27920 and 27938, than apply into the LCM equation.

GCF(27920,27938) = 2
LCM(27920,27938) = ( 27920 × 27938) / 2
LCM(27920,27938) = 780028960 / 2
LCM(27920,27938) = 390014480

Least Common Multiple (LCM) of 27920 and 27938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27920 and 27938. First we will calculate the prime factors of 27920 and 27938.

Prime Factorization of 27920

Prime Factorization of 27938

Now multiplying the highest exponent prime factors to calculate the LCM of 27920 and 27938.

LCM(27920,27938) = 2⁴ × 5¹ × 349¹ × 61¹ × 229¹
LCM(27920,27938) = 390014480