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What is the Least Common Multiple of 52432 and 52442?

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 52432 and 52442 is 1374819472.

LCM(52432,52442) = 1374819472

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Least Common Multiple of 52432 and 52442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52432 and 52442, than apply into the LCM equation.

GCF(52432,52442) = 2
LCM(52432,52442) = ( 52432 × 52442) / 2
LCM(52432,52442) = 2749638944 / 2
LCM(52432,52442) = 1374819472

Least Common Multiple (LCM) of 52432 and 52442 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52432 and 52442. First we will calculate the prime factors of 52432 and 52442.

Prime Factorization of 52432

Prime factors of 52432 are 2, 29, 113. Prime factorization of 52432 in exponential form is:

52432 = 24 × 291 × 1131

Prime Factorization of 52442

Prime factors of 52442 are 2, 13, 2017. Prime factorization of 52442 in exponential form is:

52442 = 21 × 131 × 20171

Now multiplying the highest exponent prime factors to calculate the LCM of 52432 and 52442.

LCM(52432,52442) = 24 × 291 × 1131 × 131 × 20171
LCM(52432,52442) = 1374819472