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What is the Least Common Multiple of 2548 and 2557?

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 2548 and 2557 is 6515236.

LCM(2548,2557) = 6515236

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Least Common Multiple of 2548 and 2557 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2548 and 2557, than apply into the LCM equation.

GCF(2548,2557) = 1
LCM(2548,2557) = ( 2548 × 2557) / 1
LCM(2548,2557) = 6515236 / 1
LCM(2548,2557) = 6515236

Least Common Multiple (LCM) of 2548 and 2557 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2548 and 2557. First we will calculate the prime factors of 2548 and 2557.

Prime Factorization of 2548

Prime factors of 2548 are 2, 7, 13. Prime factorization of 2548 in exponential form is:

2548 = 22 × 72 × 131

Prime Factorization of 2557

Prime factors of 2557 are 2557. Prime factorization of 2557 in exponential form is:

2557 = 25571

Now multiplying the highest exponent prime factors to calculate the LCM of 2548 and 2557.

LCM(2548,2557) = 22 × 72 × 131 × 25571
LCM(2548,2557) = 6515236