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What is the Least Common Multiple of 1106 and 1110?

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 1106 and 1110 is 613830.

LCM(1106,1110) = 613830

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Least Common Multiple of 1106 and 1110 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1106 and 1110, than apply into the LCM equation.

GCF(1106,1110) = 2
LCM(1106,1110) = ( 1106 × 1110) / 2
LCM(1106,1110) = 1227660 / 2
LCM(1106,1110) = 613830

Least Common Multiple (LCM) of 1106 and 1110 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1106 and 1110. First we will calculate the prime factors of 1106 and 1110.

Prime Factorization of 1106

Prime factors of 1106 are 2, 7, 79. Prime factorization of 1106 in exponential form is:

1106 = 21 × 71 × 791

Prime Factorization of 1110

Prime factors of 1110 are 2, 3, 5, 37. Prime factorization of 1110 in exponential form is:

1110 = 21 × 31 × 51 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 1106 and 1110.

LCM(1106,1110) = 21 × 71 × 791 × 31 × 51 × 371
LCM(1106,1110) = 613830