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What is the Least Common Multiple of 52827 and 52846?

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 52827 and 52846 is 2791695642.

LCM(52827,52846) = 2791695642

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Least Common Multiple of 52827 and 52846 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52827 and 52846, than apply into the LCM equation.

GCF(52827,52846) = 1
LCM(52827,52846) = ( 52827 × 52846) / 1
LCM(52827,52846) = 2791695642 / 1
LCM(52827,52846) = 2791695642

Least Common Multiple (LCM) of 52827 and 52846 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52827 and 52846. First we will calculate the prime factors of 52827 and 52846.

Prime Factorization of 52827

Prime factors of 52827 are 3, 17609. Prime factorization of 52827 in exponential form is:

52827 = 31 × 176091

Prime Factorization of 52846

Prime factors of 52846 are 2, 26423. Prime factorization of 52846 in exponential form is:

52846 = 21 × 264231

Now multiplying the highest exponent prime factors to calculate the LCM of 52827 and 52846.

LCM(52827,52846) = 31 × 176091 × 21 × 264231
LCM(52827,52846) = 2791695642