GCF and LCM Calculator Logo

What is the Least Common Multiple of 84220 and 84227?

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 84220 and 84227 is 7093597940.

LCM(84220,84227) = 7093597940

LCM Calculator and
and

Least Common Multiple of 84220 and 84227 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84220 and 84227, than apply into the LCM equation.

GCF(84220,84227) = 1
LCM(84220,84227) = ( 84220 × 84227) / 1
LCM(84220,84227) = 7093597940 / 1
LCM(84220,84227) = 7093597940

Least Common Multiple (LCM) of 84220 and 84227 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84220 and 84227. First we will calculate the prime factors of 84220 and 84227.

Prime Factorization of 84220

Prime factors of 84220 are 2, 5, 4211. Prime factorization of 84220 in exponential form is:

84220 = 22 × 51 × 42111

Prime Factorization of 84227

Prime factors of 84227 are 11, 13, 19, 31. Prime factorization of 84227 in exponential form is:

84227 = 111 × 131 × 191 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 84220 and 84227.

LCM(84220,84227) = 22 × 51 × 42111 × 111 × 131 × 191 × 311
LCM(84220,84227) = 7093597940