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What is the Least Common Multiple of 14220 and 14227?

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 14220 and 14227 is 202307940.

LCM(14220,14227) = 202307940

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Least Common Multiple of 14220 and 14227 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14220 and 14227, than apply into the LCM equation.

GCF(14220,14227) = 1
LCM(14220,14227) = ( 14220 × 14227) / 1
LCM(14220,14227) = 202307940 / 1
LCM(14220,14227) = 202307940

Least Common Multiple (LCM) of 14220 and 14227 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14220 and 14227. First we will calculate the prime factors of 14220 and 14227.

Prime Factorization of 14220

Prime factors of 14220 are 2, 3, 5, 79. Prime factorization of 14220 in exponential form is:

14220 = 22 × 32 × 51 × 791

Prime Factorization of 14227

Prime factors of 14227 are 41, 347. Prime factorization of 14227 in exponential form is:

14227 = 411 × 3471

Now multiplying the highest exponent prime factors to calculate the LCM of 14220 and 14227.

LCM(14220,14227) = 22 × 32 × 51 × 791 × 411 × 3471
LCM(14220,14227) = 202307940