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What is the Least Common Multiple of 1487 and 1501?

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 1487 and 1501 is 2231987.

LCM(1487,1501) = 2231987

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Least Common Multiple of 1487 and 1501 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1487 and 1501, than apply into the LCM equation.

GCF(1487,1501) = 1
LCM(1487,1501) = ( 1487 × 1501) / 1
LCM(1487,1501) = 2231987 / 1
LCM(1487,1501) = 2231987

Least Common Multiple (LCM) of 1487 and 1501 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1487 and 1501. First we will calculate the prime factors of 1487 and 1501.

Prime Factorization of 1487

Prime factors of 1487 are 1487. Prime factorization of 1487 in exponential form is:

1487 = 14871

Prime Factorization of 1501

Prime factors of 1501 are 19, 79. Prime factorization of 1501 in exponential form is:

1501 = 191 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 1487 and 1501.

LCM(1487,1501) = 14871 × 191 × 791
LCM(1487,1501) = 2231987