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What is the Least Common Multiple of 45141 and 45157?

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 45141 and 45157 is 2038432137.

LCM(45141,45157) = 2038432137

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Least Common Multiple of 45141 and 45157 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45141 and 45157, than apply into the LCM equation.

GCF(45141,45157) = 1
LCM(45141,45157) = ( 45141 × 45157) / 1
LCM(45141,45157) = 2038432137 / 1
LCM(45141,45157) = 2038432137

Least Common Multiple (LCM) of 45141 and 45157 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45141 and 45157. First we will calculate the prime factors of 45141 and 45157.

Prime Factorization of 45141

Prime factors of 45141 are 3, 41, 367. Prime factorization of 45141 in exponential form is:

45141 = 31 × 411 × 3671

Prime Factorization of 45157

Prime factors of 45157 are 7, 6451. Prime factorization of 45157 in exponential form is:

45157 = 71 × 64511

Now multiplying the highest exponent prime factors to calculate the LCM of 45141 and 45157.

LCM(45141,45157) = 31 × 411 × 3671 × 71 × 64511
LCM(45141,45157) = 2038432137