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What is the Least Common Multiple of 28052 and 28065?

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 28052 and 28065 is 787279380.

LCM(28052,28065) = 787279380

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Least Common Multiple of 28052 and 28065 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28052 and 28065, than apply into the LCM equation.

GCF(28052,28065) = 1
LCM(28052,28065) = ( 28052 × 28065) / 1
LCM(28052,28065) = 787279380 / 1
LCM(28052,28065) = 787279380

Least Common Multiple (LCM) of 28052 and 28065 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28052 and 28065. First we will calculate the prime factors of 28052 and 28065.

Prime Factorization of 28052

Prime factors of 28052 are 2, 7013. Prime factorization of 28052 in exponential form is:

28052 = 22 × 70131

Prime Factorization of 28065

Prime factors of 28065 are 3, 5, 1871. Prime factorization of 28065 in exponential form is:

28065 = 31 × 51 × 18711

Now multiplying the highest exponent prime factors to calculate the LCM of 28052 and 28065.

LCM(28052,28065) = 22 × 70131 × 31 × 51 × 18711
LCM(28052,28065) = 787279380