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What is the Least Common Multiple of 1162 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 1162 and 1174 is 682094.

LCM(1162,1174) = 682094

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Least Common Multiple of 1162 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 1162 and 1174, than apply into the LCM equation.

GCF(1162,1174) = 2
LCM(1162,1174) = ( 1162 × 1174) / 2
LCM(1162,1174) = 1364188 / 2
LCM(1162,1174) = 682094

Least Common Multiple (LCM) of 1162 and 1174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1162 and 1174. First we will calculate the prime factors of 1162 and 1174.

Prime Factorization of 1162

Prime factors of 1162 are 2, 7, 83. Prime factorization of 1162 in exponential form is:

1162 = 21 × 71 × 831

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 1162 and 1174.

LCM(1162,1174) = 21 × 71 × 831 × 5871
LCM(1162,1174) = 682094