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What is the Least Common Multiple of 11006 and 11025?

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 11006 and 11025 is 121341150.

LCM(11006,11025) = 121341150

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Least Common Multiple of 11006 and 11025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11006 and 11025, than apply into the LCM equation.

GCF(11006,11025) = 1
LCM(11006,11025) = ( 11006 × 11025) / 1
LCM(11006,11025) = 121341150 / 1
LCM(11006,11025) = 121341150

Least Common Multiple (LCM) of 11006 and 11025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11006 and 11025. First we will calculate the prime factors of 11006 and 11025.

Prime Factorization of 11006

Prime factors of 11006 are 2, 5503. Prime factorization of 11006 in exponential form is:

11006 = 21 × 55031

Prime Factorization of 11025

Prime factors of 11025 are 3, 5, 7. Prime factorization of 11025 in exponential form is:

11025 = 32 × 52 × 72

Now multiplying the highest exponent prime factors to calculate the LCM of 11006 and 11025.

LCM(11006,11025) = 21 × 55031 × 32 × 52 × 72
LCM(11006,11025) = 121341150