GCF and LCM Calculator Logo

What is the Least Common Multiple of 27211 and 27220?

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 (LCM) of 27211 and 27220 is 740683420.

LCM(27211,27220) = 740683420

LCM Calculator and
and

Least Common Multiple of 27211 and 27220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27211 and 27220, than apply into the LCM equation.

GCF(27211,27220) = 1
LCM(27211,27220) = ( 27211 × 27220) / 1
LCM(27211,27220) = 740683420 / 1
LCM(27211,27220) = 740683420

Least Common Multiple (LCM) of 27211 and 27220 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27211 and 27220. First we will calculate the prime factors of 27211 and 27220.

Prime Factorization of 27211

Prime factors of 27211 are 27211. Prime factorization of 27211 in exponential form is:

27211 = 272111

Prime Factorization of 27220

Prime factors of 27220 are 2, 5, 1361. Prime factorization of 27220 in exponential form is:

27220 = 22 × 51 × 13611

Now multiplying the highest exponent prime factors to calculate the LCM of 27211 and 27220.

LCM(27211,27220) = 272111 × 22 × 51 × 13611
LCM(27211,27220) = 740683420