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What is the Least Common Multiple of 1491 and 1503?

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 1503 is 746991.

LCM(1491,1503) = 746991

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Least Common Multiple of 1491 and 1503 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 1503, than apply into the LCM equation.

GCF(1491,1503) = 3
LCM(1491,1503) = ( 1491 × 1503) / 3
LCM(1491,1503) = 2240973 / 3
LCM(1491,1503) = 746991

Least Common Multiple (LCM) of 1491 and 1503 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1491 and 1503. First we will calculate the prime factors of 1491 and 1503.

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 1503

Prime factors of 1503 are 3, 167. Prime factorization of 1503 in exponential form is:

1503 = 32 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 1491 and 1503.

LCM(1491,1503) = 32 × 71 × 711 × 1671
LCM(1491,1503) = 746991