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What is the Least Common Multiple of 1483 and 1496?

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 1483 and 1496 is 2218568.

LCM(1483,1496) = 2218568

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Least Common Multiple of 1483 and 1496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1483 and 1496, than apply into the LCM equation.

GCF(1483,1496) = 1
LCM(1483,1496) = ( 1483 × 1496) / 1
LCM(1483,1496) = 2218568 / 1
LCM(1483,1496) = 2218568

Least Common Multiple (LCM) of 1483 and 1496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1483 and 1496. First we will calculate the prime factors of 1483 and 1496.

Prime Factorization of 1483

Prime factors of 1483 are 1483. Prime factorization of 1483 in exponential form is:

1483 = 14831

Prime Factorization of 1496

Prime factors of 1496 are 2, 11, 17. Prime factorization of 1496 in exponential form is:

1496 = 23 × 111 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 1483 and 1496.

LCM(1483,1496) = 14831 × 23 × 111 × 171
LCM(1483,1496) = 2218568