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What is the Least Common Multiple of 1130 and 1141?

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 1130 and 1141 is 1289330.

LCM(1130,1141) = 1289330

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Least Common Multiple of 1130 and 1141 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1130 and 1141, than apply into the LCM equation.

GCF(1130,1141) = 1
LCM(1130,1141) = ( 1130 × 1141) / 1
LCM(1130,1141) = 1289330 / 1
LCM(1130,1141) = 1289330

Least Common Multiple (LCM) of 1130 and 1141 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1130 and 1141. First we will calculate the prime factors of 1130 and 1141.

Prime Factorization of 1130

Prime factors of 1130 are 2, 5, 113. Prime factorization of 1130 in exponential form is:

1130 = 21 × 51 × 1131

Prime Factorization of 1141

Prime factors of 1141 are 7, 163. Prime factorization of 1141 in exponential form is:

1141 = 71 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 1130 and 1141.

LCM(1130,1141) = 21 × 51 × 1131 × 71 × 1631
LCM(1130,1141) = 1289330