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What is the Least Common Multiple of 2515 and 2523?

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 2515 and 2523 is 6345345.

LCM(2515,2523) = 6345345

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Least Common Multiple of 2515 and 2523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2515 and 2523, than apply into the LCM equation.

GCF(2515,2523) = 1
LCM(2515,2523) = ( 2515 × 2523) / 1
LCM(2515,2523) = 6345345 / 1
LCM(2515,2523) = 6345345

Least Common Multiple (LCM) of 2515 and 2523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2515 and 2523. First we will calculate the prime factors of 2515 and 2523.

Prime Factorization of 2515

Prime factors of 2515 are 5, 503. Prime factorization of 2515 in exponential form is:

2515 = 51 × 5031

Prime Factorization of 2523

Prime factors of 2523 are 3, 29. Prime factorization of 2523 in exponential form is:

2523 = 31 × 292

Now multiplying the highest exponent prime factors to calculate the LCM of 2515 and 2523.

LCM(2515,2523) = 51 × 5031 × 31 × 292
LCM(2515,2523) = 6345345