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What is the Least Common Multiple of 1162 and 1169?

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 1169 is 194054.

LCM(1162,1169) = 194054

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Least Common Multiple of 1162 and 1169 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 1169, than apply into the LCM equation.

GCF(1162,1169) = 7
LCM(1162,1169) = ( 1162 × 1169) / 7
LCM(1162,1169) = 1358378 / 7
LCM(1162,1169) = 194054

Least Common Multiple (LCM) of 1162 and 1169 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1162 and 1169. First we will calculate the prime factors of 1162 and 1169.

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 1169

Prime factors of 1169 are 7, 167. Prime factorization of 1169 in exponential form is:

1169 = 71 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 1162 and 1169.

LCM(1162,1169) = 21 × 71 × 831 × 1671
LCM(1162,1169) = 194054