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What is the Least Common Multiple of 54126 and 54130?

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 54126 and 54130 is 1464920190.

LCM(54126,54130) = 1464920190

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Least Common Multiple of 54126 and 54130 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54126 and 54130, than apply into the LCM equation.

GCF(54126,54130) = 2
LCM(54126,54130) = ( 54126 × 54130) / 2
LCM(54126,54130) = 2929840380 / 2
LCM(54126,54130) = 1464920190

Least Common Multiple (LCM) of 54126 and 54130 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54126 and 54130. First we will calculate the prime factors of 54126 and 54130.

Prime Factorization of 54126

Prime factors of 54126 are 2, 3, 31, 97. Prime factorization of 54126 in exponential form is:

54126 = 21 × 32 × 311 × 971

Prime Factorization of 54130

Prime factors of 54130 are 2, 5, 5413. Prime factorization of 54130 in exponential form is:

54130 = 21 × 51 × 54131

Now multiplying the highest exponent prime factors to calculate the LCM of 54126 and 54130.

LCM(54126,54130) = 21 × 32 × 311 × 971 × 51 × 54131
LCM(54126,54130) = 1464920190