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What is the Least Common Multiple of 1078 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 1078 and 1091 is 1176098.

LCM(1078,1091) = 1176098

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Least Common Multiple of 1078 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 1078 and 1091, than apply into the LCM equation.

GCF(1078,1091) = 1
LCM(1078,1091) = ( 1078 × 1091) / 1
LCM(1078,1091) = 1176098 / 1
LCM(1078,1091) = 1176098

Least Common Multiple (LCM) of 1078 and 1091 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1078 and 1091. First we will calculate the prime factors of 1078 and 1091.

Prime Factorization of 1078

Prime factors of 1078 are 2, 7, 11. Prime factorization of 1078 in exponential form is:

1078 = 21 × 72 × 111

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 1078 and 1091.

LCM(1078,1091) = 21 × 72 × 111 × 10911
LCM(1078,1091) = 1176098