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What is the Least Common Multiple of 45561 and 45572?

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 45561 and 45572 is 2076305892.

LCM(45561,45572) = 2076305892

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Least Common Multiple of 45561 and 45572 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45561 and 45572, than apply into the LCM equation.

GCF(45561,45572) = 1
LCM(45561,45572) = ( 45561 × 45572) / 1
LCM(45561,45572) = 2076305892 / 1
LCM(45561,45572) = 2076305892

Least Common Multiple (LCM) of 45561 and 45572 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45561 and 45572. First we will calculate the prime factors of 45561 and 45572.

Prime Factorization of 45561

Prime factors of 45561 are 3, 15187. Prime factorization of 45561 in exponential form is:

45561 = 31 × 151871

Prime Factorization of 45572

Prime factors of 45572 are 2, 11393. Prime factorization of 45572 in exponential form is:

45572 = 22 × 113931

Now multiplying the highest exponent prime factors to calculate the LCM of 45561 and 45572.

LCM(45561,45572) = 31 × 151871 × 22 × 113931
LCM(45561,45572) = 2076305892