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Least Common Multiple of 1156 and 1162

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 1156 and 1162 is 671636.

LCM(1156,1162) = 671636

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Least Common Multiple of 1156 and 1162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1156 and 1162, than apply into the LCM equation.

GCF(1156,1162) = 2
LCM(1156,1162) = ( 1156 × 1162) / 2
LCM(1156,1162) = 1343272 / 2
LCM(1156,1162) = 671636

Least Common Multiple (LCM) of 1156 and 1162 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1156 and 1162. First we will calculate the prime factors of 1156 and 1162.

Prime Factorization of 1156

Prime factors of 1156 are 2, 17. Prime factorization of 1156 in exponential form is:

1156 = 22 × 172

Prime Factorization of 1162

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

1162 = 21 × 71 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 1156 and 1162.

LCM(1156,1162) = 22 × 172 × 71 × 831
LCM(1156,1162) = 671636

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