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What is the Least Common Multiple of 1472 and 1483?

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 1472 and 1483 is 2182976.

LCM(1472,1483) = 2182976

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Least Common Multiple of 1472 and 1483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1472 and 1483, than apply into the LCM equation.

GCF(1472,1483) = 1
LCM(1472,1483) = ( 1472 × 1483) / 1
LCM(1472,1483) = 2182976 / 1
LCM(1472,1483) = 2182976

Least Common Multiple (LCM) of 1472 and 1483 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1472 and 1483. First we will calculate the prime factors of 1472 and 1483.

Prime Factorization of 1472

Prime factors of 1472 are 2, 23. Prime factorization of 1472 in exponential form is:

1472 = 26 × 231

Prime Factorization of 1483

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

1483 = 14831

Now multiplying the highest exponent prime factors to calculate the LCM of 1472 and 1483.

LCM(1472,1483) = 26 × 231 × 14831
LCM(1472,1483) = 2182976