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What is the Least Common Multiple of 1057 and 1066?

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 1057 and 1066 is 1126762.

LCM(1057,1066) = 1126762

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Least Common Multiple of 1057 and 1066 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1057 and 1066, than apply into the LCM equation.

GCF(1057,1066) = 1
LCM(1057,1066) = ( 1057 × 1066) / 1
LCM(1057,1066) = 1126762 / 1
LCM(1057,1066) = 1126762

Least Common Multiple (LCM) of 1057 and 1066 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1057 and 1066. First we will calculate the prime factors of 1057 and 1066.

Prime Factorization of 1057

Prime factors of 1057 are 7, 151. Prime factorization of 1057 in exponential form is:

1057 = 71 × 1511

Prime Factorization of 1066

Prime factors of 1066 are 2, 13, 41. Prime factorization of 1066 in exponential form is:

1066 = 21 × 131 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 1057 and 1066.

LCM(1057,1066) = 71 × 1511 × 21 × 131 × 411
LCM(1057,1066) = 1126762