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What is the Least Common Multiple of 28065 and 28085?

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 28065 and 28085 is 157641105.

LCM(28065,28085) = 157641105

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Least Common Multiple of 28065 and 28085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28065 and 28085, than apply into the LCM equation.

GCF(28065,28085) = 5
LCM(28065,28085) = ( 28065 × 28085) / 5
LCM(28065,28085) = 788205525 / 5
LCM(28065,28085) = 157641105

Least Common Multiple (LCM) of 28065 and 28085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28065 and 28085. First we will calculate the prime factors of 28065 and 28085.

Prime Factorization of 28065

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

28065 = 31 × 51 × 18711

Prime Factorization of 28085

Prime factors of 28085 are 5, 41, 137. Prime factorization of 28085 in exponential form is:

28085 = 51 × 411 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 28065 and 28085.

LCM(28065,28085) = 31 × 51 × 18711 × 411 × 1371
LCM(28065,28085) = 157641105