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What is the Least Common Multiple of 1126 and 1130?

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 1126 and 1130 is 636190.

LCM(1126,1130) = 636190

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Least Common Multiple of 1126 and 1130 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1126 and 1130, than apply into the LCM equation.

GCF(1126,1130) = 2
LCM(1126,1130) = ( 1126 × 1130) / 2
LCM(1126,1130) = 1272380 / 2
LCM(1126,1130) = 636190

Least Common Multiple (LCM) of 1126 and 1130 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1126 and 1130. First we will calculate the prime factors of 1126 and 1130.

Prime Factorization of 1126

Prime factors of 1126 are 2, 563. Prime factorization of 1126 in exponential form is:

1126 = 21 × 5631

Prime Factorization of 1130

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

1130 = 21 × 51 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 1126 and 1130.

LCM(1126,1130) = 21 × 5631 × 51 × 1131
LCM(1126,1130) = 636190