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What is the Least Common Multiple of 1136 and 1148?

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 1136 and 1148 is 326032.

LCM(1136,1148) = 326032

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Least Common Multiple of 1136 and 1148 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1136 and 1148, than apply into the LCM equation.

GCF(1136,1148) = 4
LCM(1136,1148) = ( 1136 × 1148) / 4
LCM(1136,1148) = 1304128 / 4
LCM(1136,1148) = 326032

Least Common Multiple (LCM) of 1136 and 1148 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1136 and 1148. First we will calculate the prime factors of 1136 and 1148.

Prime Factorization of 1136

Prime factors of 1136 are 2, 71. Prime factorization of 1136 in exponential form is:

1136 = 24 × 711

Prime Factorization of 1148

Prime factors of 1148 are 2, 7, 41. Prime factorization of 1148 in exponential form is:

1148 = 22 × 71 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 1136 and 1148.

LCM(1136,1148) = 24 × 711 × 71 × 411
LCM(1136,1148) = 326032