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What is the Least Common Multiple of 1047 and 1057?

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 1047 and 1057 is 1106679.

LCM(1047,1057) = 1106679

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Least Common Multiple of 1047 and 1057 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1047 and 1057, than apply into the LCM equation.

GCF(1047,1057) = 1
LCM(1047,1057) = ( 1047 × 1057) / 1
LCM(1047,1057) = 1106679 / 1
LCM(1047,1057) = 1106679

Least Common Multiple (LCM) of 1047 and 1057 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1047 and 1057. First we will calculate the prime factors of 1047 and 1057.

Prime Factorization of 1047

Prime factors of 1047 are 3, 349. Prime factorization of 1047 in exponential form is:

1047 = 31 × 3491

Prime Factorization of 1057

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

1057 = 71 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 1047 and 1057.

LCM(1047,1057) = 31 × 3491 × 71 × 1511
LCM(1047,1057) = 1106679