What is the Least Common Multiple of 27920 and 27940?

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 27940 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 27940, than apply into the LCM equation.

GCF(27920,27940) = 20
LCM(27920,27940) = ( 27920 × 27940) / 20
LCM(27920,27940) = 780084800 / 20
LCM(27920,27940) = 39004240

Least Common Multiple (LCM) of 27920 and 27940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27920 and 27940. First we will calculate the prime factors of 27920 and 27940.

Prime Factorization of 27920

Prime Factorization of 27940

Now multiplying the highest exponent prime factors to calculate the LCM of 27920 and 27940.

LCM(27920,27940) = 2⁴ × 5¹ × 349¹ × 11¹ × 127¹
LCM(27920,27940) = 39004240