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What is the Least Common Multiple of 52062 and 52073?

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 52062 and 52073 is 2711024526.

LCM(52062,52073) = 2711024526

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Least Common Multiple of 52062 and 52073 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52062 and 52073, than apply into the LCM equation.

GCF(52062,52073) = 1
LCM(52062,52073) = ( 52062 × 52073) / 1
LCM(52062,52073) = 2711024526 / 1
LCM(52062,52073) = 2711024526

Least Common Multiple (LCM) of 52062 and 52073 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52062 and 52073. First we will calculate the prime factors of 52062 and 52073.

Prime Factorization of 52062

Prime factors of 52062 are 2, 3, 8677. Prime factorization of 52062 in exponential form is:

52062 = 21 × 31 × 86771

Prime Factorization of 52073

Prime factors of 52073 are 7, 43, 173. Prime factorization of 52073 in exponential form is:

52073 = 71 × 431 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 52062 and 52073.

LCM(52062,52073) = 21 × 31 × 86771 × 71 × 431 × 1731
LCM(52062,52073) = 2711024526