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What is the Least Common Multiple of 52522 and 52541?

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 52522 and 52541 is 2759558402.

LCM(52522,52541) = 2759558402

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Least Common Multiple of 52522 and 52541 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52522 and 52541, than apply into the LCM equation.

GCF(52522,52541) = 1
LCM(52522,52541) = ( 52522 × 52541) / 1
LCM(52522,52541) = 2759558402 / 1
LCM(52522,52541) = 2759558402

Least Common Multiple (LCM) of 52522 and 52541 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52522 and 52541. First we will calculate the prime factors of 52522 and 52541.

Prime Factorization of 52522

Prime factors of 52522 are 2, 26261. Prime factorization of 52522 in exponential form is:

52522 = 21 × 262611

Prime Factorization of 52541

Prime factors of 52541 are 52541. Prime factorization of 52541 in exponential form is:

52541 = 525411

Now multiplying the highest exponent prime factors to calculate the LCM of 52522 and 52541.

LCM(52522,52541) = 21 × 262611 × 525411
LCM(52522,52541) = 2759558402