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What is the Least Common Multiple of 11106 and 11126?

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 11126 is 61782678.

LCM(11106,11126) = 61782678

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Least Common Multiple of 11106 and 11126 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 11126, than apply into the LCM equation.

GCF(11106,11126) = 2
LCM(11106,11126) = ( 11106 × 11126) / 2
LCM(11106,11126) = 123565356 / 2
LCM(11106,11126) = 61782678

Least Common Multiple (LCM) of 11106 and 11126 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11106 and 11126. First we will calculate the prime factors of 11106 and 11126.

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 11126

Prime factors of 11126 are 2, 5563. Prime factorization of 11126 in exponential form is:

11126 = 21 × 55631

Now multiplying the highest exponent prime factors to calculate the LCM of 11106 and 11126.

LCM(11106,11126) = 21 × 32 × 6171 × 55631
LCM(11106,11126) = 61782678