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What is the Least Common Multiple of 1481 and 1499?

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 1481 and 1499 is 2220019.

LCM(1481,1499) = 2220019

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Least Common Multiple of 1481 and 1499 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1481 and 1499, than apply into the LCM equation.

GCF(1481,1499) = 1
LCM(1481,1499) = ( 1481 × 1499) / 1
LCM(1481,1499) = 2220019 / 1
LCM(1481,1499) = 2220019

Least Common Multiple (LCM) of 1481 and 1499 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1481 and 1499. First we will calculate the prime factors of 1481 and 1499.

Prime Factorization of 1481

Prime factors of 1481 are 1481. Prime factorization of 1481 in exponential form is:

1481 = 14811

Prime Factorization of 1499

Prime factors of 1499 are 1499. Prime factorization of 1499 in exponential form is:

1499 = 14991

Now multiplying the highest exponent prime factors to calculate the LCM of 1481 and 1499.

LCM(1481,1499) = 14811 × 14991
LCM(1481,1499) = 2220019