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What is the Least Common Multiple of 52686 and 52705?

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 52686 and 52705 is 2776815630.

LCM(52686,52705) = 2776815630

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Least Common Multiple of 52686 and 52705 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52686 and 52705, than apply into the LCM equation.

GCF(52686,52705) = 1
LCM(52686,52705) = ( 52686 × 52705) / 1
LCM(52686,52705) = 2776815630 / 1
LCM(52686,52705) = 2776815630

Least Common Multiple (LCM) of 52686 and 52705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52686 and 52705. First we will calculate the prime factors of 52686 and 52705.

Prime Factorization of 52686

Prime factors of 52686 are 2, 3, 2927. Prime factorization of 52686 in exponential form is:

52686 = 21 × 32 × 29271

Prime Factorization of 52705

Prime factors of 52705 are 5, 83, 127. Prime factorization of 52705 in exponential form is:

52705 = 51 × 831 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 52686 and 52705.

LCM(52686,52705) = 21 × 32 × 29271 × 51 × 831 × 1271
LCM(52686,52705) = 2776815630