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What is the Least Common Multiple of 11106 and 11111?

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 11106 and 11111 is 123398766.

LCM(11106,11111) = 123398766

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Least Common Multiple of 11106 and 11111 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11106 and 11111, than apply into the LCM equation.

GCF(11106,11111) = 1
LCM(11106,11111) = ( 11106 × 11111) / 1
LCM(11106,11111) = 123398766 / 1
LCM(11106,11111) = 123398766

Least Common Multiple (LCM) of 11106 and 11111 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11106 and 11111. First we will calculate the prime factors of 11106 and 11111.

Prime Factorization of 11106

Prime factors of 11106 are 2, 3, 617. Prime factorization of 11106 in exponential form is:

11106 = 21 × 32 × 6171

Prime Factorization of 11111

Prime factors of 11111 are 41, 271. Prime factorization of 11111 in exponential form is:

11111 = 411 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 11106 and 11111.

LCM(11106,11111) = 21 × 32 × 6171 × 411 × 2711
LCM(11106,11111) = 123398766