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What is the Least Common Multiple of 1513 and 1527?

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 1513 and 1527 is 2310351.

LCM(1513,1527) = 2310351

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Least Common Multiple of 1513 and 1527 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1513 and 1527, than apply into the LCM equation.

GCF(1513,1527) = 1
LCM(1513,1527) = ( 1513 × 1527) / 1
LCM(1513,1527) = 2310351 / 1
LCM(1513,1527) = 2310351

Least Common Multiple (LCM) of 1513 and 1527 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1513 and 1527. First we will calculate the prime factors of 1513 and 1527.

Prime Factorization of 1513

Prime factors of 1513 are 17, 89. Prime factorization of 1513 in exponential form is:

1513 = 171 × 891

Prime Factorization of 1527

Prime factors of 1527 are 3, 509. Prime factorization of 1527 in exponential form is:

1527 = 31 × 5091

Now multiplying the highest exponent prime factors to calculate the LCM of 1513 and 1527.

LCM(1513,1527) = 171 × 891 × 31 × 5091
LCM(1513,1527) = 2310351