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What is the Least Common Multiple of 1060 and 1068?

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 1060 and 1068 is 283020.

LCM(1060,1068) = 283020

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Least Common Multiple of 1060 and 1068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1060 and 1068, than apply into the LCM equation.

GCF(1060,1068) = 4
LCM(1060,1068) = ( 1060 × 1068) / 4
LCM(1060,1068) = 1132080 / 4
LCM(1060,1068) = 283020

Least Common Multiple (LCM) of 1060 and 1068 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1060 and 1068. First we will calculate the prime factors of 1060 and 1068.

Prime Factorization of 1060

Prime factors of 1060 are 2, 5, 53. Prime factorization of 1060 in exponential form is:

1060 = 22 × 51 × 531

Prime Factorization of 1068

Prime factors of 1068 are 2, 3, 89. Prime factorization of 1068 in exponential form is:

1068 = 22 × 31 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 1060 and 1068.

LCM(1060,1068) = 22 × 51 × 531 × 31 × 891
LCM(1060,1068) = 283020