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What is the Least Common Multiple of 52511 and 52518?

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 52511 and 52518 is 2757772698.

LCM(52511,52518) = 2757772698

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Least Common Multiple of 52511 and 52518 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52511 and 52518, than apply into the LCM equation.

GCF(52511,52518) = 1
LCM(52511,52518) = ( 52511 × 52518) / 1
LCM(52511,52518) = 2757772698 / 1
LCM(52511,52518) = 2757772698

Least Common Multiple (LCM) of 52511 and 52518 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52511 and 52518. First we will calculate the prime factors of 52511 and 52518.

Prime Factorization of 52511

Prime factors of 52511 are 52511. Prime factorization of 52511 in exponential form is:

52511 = 525111

Prime Factorization of 52518

Prime factors of 52518 are 2, 3, 8753. Prime factorization of 52518 in exponential form is:

52518 = 21 × 31 × 87531

Now multiplying the highest exponent prime factors to calculate the LCM of 52511 and 52518.

LCM(52511,52518) = 525111 × 21 × 31 × 87531
LCM(52511,52518) = 2757772698