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What is the Least Common Multiple of 1034 and 1051?

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 1034 and 1051 is 1086734.

LCM(1034,1051) = 1086734

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Least Common Multiple of 1034 and 1051 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1034 and 1051, than apply into the LCM equation.

GCF(1034,1051) = 1
LCM(1034,1051) = ( 1034 × 1051) / 1
LCM(1034,1051) = 1086734 / 1
LCM(1034,1051) = 1086734

Least Common Multiple (LCM) of 1034 and 1051 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1034 and 1051. First we will calculate the prime factors of 1034 and 1051.

Prime Factorization of 1034

Prime factors of 1034 are 2, 11, 47. Prime factorization of 1034 in exponential form is:

1034 = 21 × 111 × 471

Prime Factorization of 1051

Prime factors of 1051 are 1051. Prime factorization of 1051 in exponential form is:

1051 = 10511

Now multiplying the highest exponent prime factors to calculate the LCM of 1034 and 1051.

LCM(1034,1051) = 21 × 111 × 471 × 10511
LCM(1034,1051) = 1086734