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What is the Least Common Multiple of 1147 and 1164?

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 1147 and 1164 is 1335108.

LCM(1147,1164) = 1335108

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Least Common Multiple of 1147 and 1164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1147 and 1164, than apply into the LCM equation.

GCF(1147,1164) = 1
LCM(1147,1164) = ( 1147 × 1164) / 1
LCM(1147,1164) = 1335108 / 1
LCM(1147,1164) = 1335108

Least Common Multiple (LCM) of 1147 and 1164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1147 and 1164. First we will calculate the prime factors of 1147 and 1164.

Prime Factorization of 1147

Prime factors of 1147 are 31, 37. Prime factorization of 1147 in exponential form is:

1147 = 311 × 371

Prime Factorization of 1164

Prime factors of 1164 are 2, 3, 97. Prime factorization of 1164 in exponential form is:

1164 = 22 × 31 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 1147 and 1164.

LCM(1147,1164) = 311 × 371 × 22 × 31 × 971
LCM(1147,1164) = 1335108