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What is the Least Common Multiple of 56129 and 56148?

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 56129 and 56148 is 3151531092.

LCM(56129,56148) = 3151531092

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Least Common Multiple of 56129 and 56148 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56129 and 56148, than apply into the LCM equation.

GCF(56129,56148) = 1
LCM(56129,56148) = ( 56129 × 56148) / 1
LCM(56129,56148) = 3151531092 / 1
LCM(56129,56148) = 3151531092

Least Common Multiple (LCM) of 56129 and 56148 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56129 and 56148. First we will calculate the prime factors of 56129 and 56148.

Prime Factorization of 56129

Prime factors of 56129 are 37, 41. Prime factorization of 56129 in exponential form is:

56129 = 372 × 411

Prime Factorization of 56148

Prime factors of 56148 are 2, 3, 4679. Prime factorization of 56148 in exponential form is:

56148 = 22 × 31 × 46791

Now multiplying the highest exponent prime factors to calculate the LCM of 56129 and 56148.

LCM(56129,56148) = 372 × 411 × 22 × 31 × 46791
LCM(56129,56148) = 3151531092