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What is the Least Common Multiple of 45140 and 45159?

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 45140 and 45159 is 2038477260.

LCM(45140,45159) = 2038477260

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Least Common Multiple of 45140 and 45159 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45140 and 45159, than apply into the LCM equation.

GCF(45140,45159) = 1
LCM(45140,45159) = ( 45140 × 45159) / 1
LCM(45140,45159) = 2038477260 / 1
LCM(45140,45159) = 2038477260

Least Common Multiple (LCM) of 45140 and 45159 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45140 and 45159. First we will calculate the prime factors of 45140 and 45159.

Prime Factorization of 45140

Prime factors of 45140 are 2, 5, 37, 61. Prime factorization of 45140 in exponential form is:

45140 = 22 × 51 × 371 × 611

Prime Factorization of 45159

Prime factors of 45159 are 3, 15053. Prime factorization of 45159 in exponential form is:

45159 = 31 × 150531

Now multiplying the highest exponent prime factors to calculate the LCM of 45140 and 45159.

LCM(45140,45159) = 22 × 51 × 371 × 611 × 31 × 150531
LCM(45140,45159) = 2038477260