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What is the Least Common Multiple of 1488 and 1495?

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 1488 and 1495 is 2224560.

LCM(1488,1495) = 2224560

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Least Common Multiple of 1488 and 1495 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1488 and 1495, than apply into the LCM equation.

GCF(1488,1495) = 1
LCM(1488,1495) = ( 1488 × 1495) / 1
LCM(1488,1495) = 2224560 / 1
LCM(1488,1495) = 2224560

Least Common Multiple (LCM) of 1488 and 1495 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1488 and 1495. First we will calculate the prime factors of 1488 and 1495.

Prime Factorization of 1488

Prime factors of 1488 are 2, 3, 31. Prime factorization of 1488 in exponential form is:

1488 = 24 × 31 × 311

Prime Factorization of 1495

Prime factors of 1495 are 5, 13, 23. Prime factorization of 1495 in exponential form is:

1495 = 51 × 131 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 1488 and 1495.

LCM(1488,1495) = 24 × 31 × 311 × 51 × 131 × 231
LCM(1488,1495) = 2224560