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What is the Least Common Multiple of 52675 and 52685?

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 52675 and 52685 is 555036475.

LCM(52675,52685) = 555036475

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Least Common Multiple of 52675 and 52685 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52675 and 52685, than apply into the LCM equation.

GCF(52675,52685) = 5
LCM(52675,52685) = ( 52675 × 52685) / 5
LCM(52675,52685) = 2775182375 / 5
LCM(52675,52685) = 555036475

Least Common Multiple (LCM) of 52675 and 52685 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52675 and 52685. First we will calculate the prime factors of 52675 and 52685.

Prime Factorization of 52675

Prime factors of 52675 are 5, 7, 43. Prime factorization of 52675 in exponential form is:

52675 = 52 × 72 × 431

Prime Factorization of 52685

Prime factors of 52685 are 5, 41, 257. Prime factorization of 52685 in exponential form is:

52685 = 51 × 411 × 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 52675 and 52685.

LCM(52675,52685) = 52 × 72 × 431 × 411 × 2571
LCM(52675,52685) = 555036475