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What is the Least Common Multiple of 22124 and 22139?

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 22124 and 22139 is 489803236.

LCM(22124,22139) = 489803236

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Least Common Multiple of 22124 and 22139 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22124 and 22139, than apply into the LCM equation.

GCF(22124,22139) = 1
LCM(22124,22139) = ( 22124 × 22139) / 1
LCM(22124,22139) = 489803236 / 1
LCM(22124,22139) = 489803236

Least Common Multiple (LCM) of 22124 and 22139 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22124 and 22139. First we will calculate the prime factors of 22124 and 22139.

Prime Factorization of 22124

Prime factors of 22124 are 2, 5531. Prime factorization of 22124 in exponential form is:

22124 = 22 × 55311

Prime Factorization of 22139

Prime factors of 22139 are 13, 131. Prime factorization of 22139 in exponential form is:

22139 = 132 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 22124 and 22139.

LCM(22124,22139) = 22 × 55311 × 132 × 1311
LCM(22124,22139) = 489803236