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What is the Least Common Multiple of 1499 and 1512?

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 1499 and 1512 is 2266488.

LCM(1499,1512) = 2266488

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Least Common Multiple of 1499 and 1512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1499 and 1512, than apply into the LCM equation.

GCF(1499,1512) = 1
LCM(1499,1512) = ( 1499 × 1512) / 1
LCM(1499,1512) = 2266488 / 1
LCM(1499,1512) = 2266488

Least Common Multiple (LCM) of 1499 and 1512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1499 and 1512. First we will calculate the prime factors of 1499 and 1512.

Prime Factorization of 1499

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

1499 = 14991

Prime Factorization of 1512

Prime factors of 1512 are 2, 3, 7. Prime factorization of 1512 in exponential form is:

1512 = 23 × 33 × 71

Now multiplying the highest exponent prime factors to calculate the LCM of 1499 and 1512.

LCM(1499,1512) = 14991 × 23 × 33 × 71
LCM(1499,1512) = 2266488