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What is the Least Common Multiple of 11013 and 11018?

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 11013 and 11018 is 121341234.

LCM(11013,11018) = 121341234

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Least Common Multiple of 11013 and 11018 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11013 and 11018, than apply into the LCM equation.

GCF(11013,11018) = 1
LCM(11013,11018) = ( 11013 × 11018) / 1
LCM(11013,11018) = 121341234 / 1
LCM(11013,11018) = 121341234

Least Common Multiple (LCM) of 11013 and 11018 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11013 and 11018. First we will calculate the prime factors of 11013 and 11018.

Prime Factorization of 11013

Prime factors of 11013 are 3, 3671. Prime factorization of 11013 in exponential form is:

11013 = 31 × 36711

Prime Factorization of 11018

Prime factors of 11018 are 2, 7, 787. Prime factorization of 11018 in exponential form is:

11018 = 21 × 71 × 7871

Now multiplying the highest exponent prime factors to calculate the LCM of 11013 and 11018.

LCM(11013,11018) = 31 × 36711 × 21 × 71 × 7871
LCM(11013,11018) = 121341234