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What is the Least Common Multiple of 1047 and 1056?

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 1056 is 368544.

LCM(1047,1056) = 368544

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Least Common Multiple of 1047 and 1056 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 1056, than apply into the LCM equation.

GCF(1047,1056) = 3
LCM(1047,1056) = ( 1047 × 1056) / 3
LCM(1047,1056) = 1105632 / 3
LCM(1047,1056) = 368544

Least Common Multiple (LCM) of 1047 and 1056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1047 and 1056. First we will calculate the prime factors of 1047 and 1056.

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 1056

Prime factors of 1056 are 2, 3, 11. Prime factorization of 1056 in exponential form is:

1056 = 25 × 31 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 1047 and 1056.

LCM(1047,1056) = 31 × 3491 × 25 × 111
LCM(1047,1056) = 368544