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What is the Least Common Multiple of 1516 and 1523?

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 1516 and 1523 is 2308868.

LCM(1516,1523) = 2308868

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Least Common Multiple of 1516 and 1523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1516 and 1523, than apply into the LCM equation.

GCF(1516,1523) = 1
LCM(1516,1523) = ( 1516 × 1523) / 1
LCM(1516,1523) = 2308868 / 1
LCM(1516,1523) = 2308868

Least Common Multiple (LCM) of 1516 and 1523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1516 and 1523. First we will calculate the prime factors of 1516 and 1523.

Prime Factorization of 1516

Prime factors of 1516 are 2, 379. Prime factorization of 1516 in exponential form is:

1516 = 22 × 3791

Prime Factorization of 1523

Prime factors of 1523 are 1523. Prime factorization of 1523 in exponential form is:

1523 = 15231

Now multiplying the highest exponent prime factors to calculate the LCM of 1516 and 1523.

LCM(1516,1523) = 22 × 3791 × 15231
LCM(1516,1523) = 2308868