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What is the Least Common Multiple of 50522 and 50527?

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 50522 and 50527 is 2552725094.

LCM(50522,50527) = 2552725094

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Least Common Multiple of 50522 and 50527 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50522 and 50527, than apply into the LCM equation.

GCF(50522,50527) = 1
LCM(50522,50527) = ( 50522 × 50527) / 1
LCM(50522,50527) = 2552725094 / 1
LCM(50522,50527) = 2552725094

Least Common Multiple (LCM) of 50522 and 50527 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50522 and 50527. First we will calculate the prime factors of 50522 and 50527.

Prime Factorization of 50522

Prime factors of 50522 are 2, 25261. Prime factorization of 50522 in exponential form is:

50522 = 21 × 252611

Prime Factorization of 50527

Prime factors of 50527 are 50527. Prime factorization of 50527 in exponential form is:

50527 = 505271

Now multiplying the highest exponent prime factors to calculate the LCM of 50522 and 50527.

LCM(50522,50527) = 21 × 252611 × 505271
LCM(50522,50527) = 2552725094