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What is the Least Common Multiple of 1110 and 1118?

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 1110 and 1118 is 620490.

LCM(1110,1118) = 620490

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Least Common Multiple of 1110 and 1118 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1110 and 1118, than apply into the LCM equation.

GCF(1110,1118) = 2
LCM(1110,1118) = ( 1110 × 1118) / 2
LCM(1110,1118) = 1240980 / 2
LCM(1110,1118) = 620490

Least Common Multiple (LCM) of 1110 and 1118 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1110 and 1118. First we will calculate the prime factors of 1110 and 1118.

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

Prime Factorization of 1118

Prime factors of 1118 are 2, 13, 43. Prime factorization of 1118 in exponential form is:

1118 = 21 × 131 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 1110 and 1118.

LCM(1110,1118) = 21 × 31 × 51 × 371 × 131 × 431
LCM(1110,1118) = 620490