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What is the Least Common Multiple of 1134 and 1153?

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 1134 and 1153 is 1307502.

LCM(1134,1153) = 1307502

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Least Common Multiple of 1134 and 1153 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1134 and 1153, than apply into the LCM equation.

GCF(1134,1153) = 1
LCM(1134,1153) = ( 1134 × 1153) / 1
LCM(1134,1153) = 1307502 / 1
LCM(1134,1153) = 1307502

Least Common Multiple (LCM) of 1134 and 1153 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1134 and 1153. First we will calculate the prime factors of 1134 and 1153.

Prime Factorization of 1134

Prime factors of 1134 are 2, 3, 7. Prime factorization of 1134 in exponential form is:

1134 = 21 × 34 × 71

Prime Factorization of 1153

Prime factors of 1153 are 1153. Prime factorization of 1153 in exponential form is:

1153 = 11531

Now multiplying the highest exponent prime factors to calculate the LCM of 1134 and 1153.

LCM(1134,1153) = 21 × 34 × 71 × 11531
LCM(1134,1153) = 1307502