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What is the Least Common Multiple of 11009 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 11009 and 11025 is 121374225.

LCM(11009,11025) = 121374225

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Least Common Multiple of 11009 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 11009 and 11025, than apply into the LCM equation.

GCF(11009,11025) = 1
LCM(11009,11025) = ( 11009 × 11025) / 1
LCM(11009,11025) = 121374225 / 1
LCM(11009,11025) = 121374225

Least Common Multiple (LCM) of 11009 and 11025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11009 and 11025. First we will calculate the prime factors of 11009 and 11025.

Prime Factorization of 11009

Prime factors of 11009 are 101, 109. Prime factorization of 11009 in exponential form is:

11009 = 1011 × 1091

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 11009 and 11025.

LCM(11009,11025) = 1011 × 1091 × 32 × 52 × 72
LCM(11009,11025) = 121374225