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What is the Least Common Multiple of 1068 and 1077?

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 1068 and 1077 is 383412.

LCM(1068,1077) = 383412

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Least Common Multiple of 1068 and 1077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1068 and 1077, than apply into the LCM equation.

GCF(1068,1077) = 3
LCM(1068,1077) = ( 1068 × 1077) / 3
LCM(1068,1077) = 1150236 / 3
LCM(1068,1077) = 383412

Least Common Multiple (LCM) of 1068 and 1077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1068 and 1077. First we will calculate the prime factors of 1068 and 1077.

Prime Factorization of 1068

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

1068 = 22 × 31 × 891

Prime Factorization of 1077

Prime factors of 1077 are 3, 359. Prime factorization of 1077 in exponential form is:

1077 = 31 × 3591

Now multiplying the highest exponent prime factors to calculate the LCM of 1068 and 1077.

LCM(1068,1077) = 22 × 31 × 891 × 3591
LCM(1068,1077) = 383412