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What is the Least Common Multiple of 1055 and 1063?

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 1055 and 1063 is 1121465.

LCM(1055,1063) = 1121465

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Least Common Multiple of 1055 and 1063 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1055 and 1063, than apply into the LCM equation.

GCF(1055,1063) = 1
LCM(1055,1063) = ( 1055 × 1063) / 1
LCM(1055,1063) = 1121465 / 1
LCM(1055,1063) = 1121465

Least Common Multiple (LCM) of 1055 and 1063 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1055 and 1063. First we will calculate the prime factors of 1055 and 1063.

Prime Factorization of 1055

Prime factors of 1055 are 5, 211. Prime factorization of 1055 in exponential form is:

1055 = 51 × 2111

Prime Factorization of 1063

Prime factors of 1063 are 1063. Prime factorization of 1063 in exponential form is:

1063 = 10631

Now multiplying the highest exponent prime factors to calculate the LCM of 1055 and 1063.

LCM(1055,1063) = 51 × 2111 × 10631
LCM(1055,1063) = 1121465