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What is the Least Common Multiple of 1077 and 1091?

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 1077 and 1091 is 1175007.

LCM(1077,1091) = 1175007

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Least Common Multiple of 1077 and 1091 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1077 and 1091, than apply into the LCM equation.

GCF(1077,1091) = 1
LCM(1077,1091) = ( 1077 × 1091) / 1
LCM(1077,1091) = 1175007 / 1
LCM(1077,1091) = 1175007

Least Common Multiple (LCM) of 1077 and 1091 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1077 and 1091. First we will calculate the prime factors of 1077 and 1091.

Prime Factorization of 1077

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

1077 = 31 × 3591

Prime Factorization of 1091

Prime factors of 1091 are 1091. Prime factorization of 1091 in exponential form is:

1091 = 10911

Now multiplying the highest exponent prime factors to calculate the LCM of 1077 and 1091.

LCM(1077,1091) = 31 × 3591 × 10911
LCM(1077,1091) = 1175007