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What is the Least Common Multiple of 1151 and 1155?

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 1151 and 1155 is 1329405.

LCM(1151,1155) = 1329405

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Least Common Multiple of 1151 and 1155 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1151 and 1155, than apply into the LCM equation.

GCF(1151,1155) = 1
LCM(1151,1155) = ( 1151 × 1155) / 1
LCM(1151,1155) = 1329405 / 1
LCM(1151,1155) = 1329405

Least Common Multiple (LCM) of 1151 and 1155 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1151 and 1155. First we will calculate the prime factors of 1151 and 1155.

Prime Factorization of 1151

Prime factors of 1151 are 1151. Prime factorization of 1151 in exponential form is:

1151 = 11511

Prime Factorization of 1155

Prime factors of 1155 are 3, 5, 7, 11. Prime factorization of 1155 in exponential form is:

1155 = 31 × 51 × 71 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 1151 and 1155.

LCM(1151,1155) = 11511 × 31 × 51 × 71 × 111
LCM(1151,1155) = 1329405