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What is the Least Common Multiple of 52433 and 52446?

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 52433 and 52446 is 2749901118.

LCM(52433,52446) = 2749901118

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Least Common Multiple of 52433 and 52446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52433 and 52446, than apply into the LCM equation.

GCF(52433,52446) = 1
LCM(52433,52446) = ( 52433 × 52446) / 1
LCM(52433,52446) = 2749901118 / 1
LCM(52433,52446) = 2749901118

Least Common Multiple (LCM) of 52433 and 52446 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52433 and 52446. First we will calculate the prime factors of 52433 and 52446.

Prime Factorization of 52433

Prime factors of 52433 are 52433. Prime factorization of 52433 in exponential form is:

52433 = 524331

Prime Factorization of 52446

Prime factors of 52446 are 2, 3, 8741. Prime factorization of 52446 in exponential form is:

52446 = 21 × 31 × 87411

Now multiplying the highest exponent prime factors to calculate the LCM of 52433 and 52446.

LCM(52433,52446) = 524331 × 21 × 31 × 87411
LCM(52433,52446) = 2749901118