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What is the Least Common Multiple of 1489 and 1507?

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 1489 and 1507 is 2243923.

LCM(1489,1507) = 2243923

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Least Common Multiple of 1489 and 1507 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1489 and 1507, than apply into the LCM equation.

GCF(1489,1507) = 1
LCM(1489,1507) = ( 1489 × 1507) / 1
LCM(1489,1507) = 2243923 / 1
LCM(1489,1507) = 2243923

Least Common Multiple (LCM) of 1489 and 1507 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1489 and 1507. First we will calculate the prime factors of 1489 and 1507.

Prime Factorization of 1489

Prime factors of 1489 are 1489. Prime factorization of 1489 in exponential form is:

1489 = 14891

Prime Factorization of 1507

Prime factors of 1507 are 11, 137. Prime factorization of 1507 in exponential form is:

1507 = 111 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 1489 and 1507.

LCM(1489,1507) = 14891 × 111 × 1371
LCM(1489,1507) = 2243923