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What is the Least Common Multiple of 52885 and 52898?

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 52885 and 52898 is 2797510730.

LCM(52885,52898) = 2797510730

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Least Common Multiple of 52885 and 52898 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52885 and 52898, than apply into the LCM equation.

GCF(52885,52898) = 1
LCM(52885,52898) = ( 52885 × 52898) / 1
LCM(52885,52898) = 2797510730 / 1
LCM(52885,52898) = 2797510730

Least Common Multiple (LCM) of 52885 and 52898 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52885 and 52898. First we will calculate the prime factors of 52885 and 52898.

Prime Factorization of 52885

Prime factors of 52885 are 5, 7, 1511. Prime factorization of 52885 in exponential form is:

52885 = 51 × 71 × 15111

Prime Factorization of 52898

Prime factors of 52898 are 2, 26449. Prime factorization of 52898 in exponential form is:

52898 = 21 × 264491

Now multiplying the highest exponent prime factors to calculate the LCM of 52885 and 52898.

LCM(52885,52898) = 51 × 71 × 15111 × 21 × 264491
LCM(52885,52898) = 2797510730