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What is the Least Common Multiple of 1048 and 1062?

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 1048 and 1062 is 556488.

LCM(1048,1062) = 556488

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Least Common Multiple of 1048 and 1062 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1048 and 1062, than apply into the LCM equation.

GCF(1048,1062) = 2
LCM(1048,1062) = ( 1048 × 1062) / 2
LCM(1048,1062) = 1112976 / 2
LCM(1048,1062) = 556488

Least Common Multiple (LCM) of 1048 and 1062 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1048 and 1062. First we will calculate the prime factors of 1048 and 1062.

Prime Factorization of 1048

Prime factors of 1048 are 2, 131. Prime factorization of 1048 in exponential form is:

1048 = 23 × 1311

Prime Factorization of 1062

Prime factors of 1062 are 2, 3, 59. Prime factorization of 1062 in exponential form is:

1062 = 21 × 32 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 1048 and 1062.

LCM(1048,1062) = 23 × 1311 × 32 × 591
LCM(1048,1062) = 556488