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What is the Least Common Multiple of 55130 and 55138?

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 55130 and 55138 is 1519878970.

LCM(55130,55138) = 1519878970

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Least Common Multiple of 55130 and 55138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55130 and 55138, than apply into the LCM equation.

GCF(55130,55138) = 2
LCM(55130,55138) = ( 55130 × 55138) / 2
LCM(55130,55138) = 3039757940 / 2
LCM(55130,55138) = 1519878970

Least Common Multiple (LCM) of 55130 and 55138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55130 and 55138. First we will calculate the prime factors of 55130 and 55138.

Prime Factorization of 55130

Prime factors of 55130 are 2, 5, 37, 149. Prime factorization of 55130 in exponential form is:

55130 = 21 × 51 × 371 × 1491

Prime Factorization of 55138

Prime factors of 55138 are 2, 19, 1451. Prime factorization of 55138 in exponential form is:

55138 = 21 × 191 × 14511

Now multiplying the highest exponent prime factors to calculate the LCM of 55130 and 55138.

LCM(55130,55138) = 21 × 51 × 371 × 1491 × 191 × 14511
LCM(55130,55138) = 1519878970