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What is the Least Common Multiple of 52105 and 52121?

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 52105 and 52121 is 2715764705.

LCM(52105,52121) = 2715764705

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Least Common Multiple of 52105 and 52121 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52105 and 52121, than apply into the LCM equation.

GCF(52105,52121) = 1
LCM(52105,52121) = ( 52105 × 52121) / 1
LCM(52105,52121) = 2715764705 / 1
LCM(52105,52121) = 2715764705

Least Common Multiple (LCM) of 52105 and 52121 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52105 and 52121. First we will calculate the prime factors of 52105 and 52121.

Prime Factorization of 52105

Prime factors of 52105 are 5, 17, 613. Prime factorization of 52105 in exponential form is:

52105 = 51 × 171 × 6131

Prime Factorization of 52121

Prime factors of 52121 are 52121. Prime factorization of 52121 in exponential form is:

52121 = 521211

Now multiplying the highest exponent prime factors to calculate the LCM of 52105 and 52121.

LCM(52105,52121) = 51 × 171 × 6131 × 521211
LCM(52105,52121) = 2715764705