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What is the Least Common Multiple of 11249 and 11253?

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 11249 and 11253 is 126584997.

LCM(11249,11253) = 126584997

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Least Common Multiple of 11249 and 11253 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11249 and 11253, than apply into the LCM equation.

GCF(11249,11253) = 1
LCM(11249,11253) = ( 11249 × 11253) / 1
LCM(11249,11253) = 126584997 / 1
LCM(11249,11253) = 126584997

Least Common Multiple (LCM) of 11249 and 11253 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11249 and 11253. First we will calculate the prime factors of 11249 and 11253.

Prime Factorization of 11249

Prime factors of 11249 are 7, 1607. Prime factorization of 11249 in exponential form is:

11249 = 71 × 16071

Prime Factorization of 11253

Prime factors of 11253 are 3, 11, 31. Prime factorization of 11253 in exponential form is:

11253 = 31 × 112 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 11249 and 11253.

LCM(11249,11253) = 71 × 16071 × 31 × 112 × 311
LCM(11249,11253) = 126584997