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What is the Least Common Multiple of 1154 and 1174?

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 1154 and 1174 is 677398.

LCM(1154,1174) = 677398

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Least Common Multiple of 1154 and 1174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1154 and 1174, than apply into the LCM equation.

GCF(1154,1174) = 2
LCM(1154,1174) = ( 1154 × 1174) / 2
LCM(1154,1174) = 1354796 / 2
LCM(1154,1174) = 677398

Least Common Multiple (LCM) of 1154 and 1174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1154 and 1174. First we will calculate the prime factors of 1154 and 1174.

Prime Factorization of 1154

Prime factors of 1154 are 2, 577. Prime factorization of 1154 in exponential form is:

1154 = 21 × 5771

Prime Factorization of 1174

Prime factors of 1174 are 2, 587. Prime factorization of 1174 in exponential form is:

1174 = 21 × 5871

Now multiplying the highest exponent prime factors to calculate the LCM of 1154 and 1174.

LCM(1154,1174) = 21 × 5771 × 5871
LCM(1154,1174) = 677398