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What is the Least Common Multiple of 1034 and 1042?

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 1042 is 538714.

LCM(1034,1042) = 538714

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Least Common Multiple of 1034 and 1042 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 1042, than apply into the LCM equation.

GCF(1034,1042) = 2
LCM(1034,1042) = ( 1034 × 1042) / 2
LCM(1034,1042) = 1077428 / 2
LCM(1034,1042) = 538714

Least Common Multiple (LCM) of 1034 and 1042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1034 and 1042. First we will calculate the prime factors of 1034 and 1042.

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 1042

Prime factors of 1042 are 2, 521. Prime factorization of 1042 in exponential form is:

1042 = 21 × 5211

Now multiplying the highest exponent prime factors to calculate the LCM of 1034 and 1042.

LCM(1034,1042) = 21 × 111 × 471 × 5211
LCM(1034,1042) = 538714