GCF and LCM Calculator Logo

What is the Least Common Multiple of 1491 and 1508?

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 1491 and 1508 is 2248428.

LCM(1491,1508) = 2248428

LCM Calculator and
and

Least Common Multiple of 1491 and 1508 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1491 and 1508, than apply into the LCM equation.

GCF(1491,1508) = 1
LCM(1491,1508) = ( 1491 × 1508) / 1
LCM(1491,1508) = 2248428 / 1
LCM(1491,1508) = 2248428

Least Common Multiple (LCM) of 1491 and 1508 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1491 and 1508. First we will calculate the prime factors of 1491 and 1508.

Prime Factorization of 1491

Prime factors of 1491 are 3, 7, 71. Prime factorization of 1491 in exponential form is:

1491 = 31 × 71 × 711

Prime Factorization of 1508

Prime factors of 1508 are 2, 13, 29. Prime factorization of 1508 in exponential form is:

1508 = 22 × 131 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 1491 and 1508.

LCM(1491,1508) = 31 × 71 × 711 × 22 × 131 × 291
LCM(1491,1508) = 2248428