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What is the Least Common Multiple of 1468 and 1475?

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 1468 and 1475 is 2165300.

LCM(1468,1475) = 2165300

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Least Common Multiple of 1468 and 1475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1468 and 1475, than apply into the LCM equation.

GCF(1468,1475) = 1
LCM(1468,1475) = ( 1468 × 1475) / 1
LCM(1468,1475) = 2165300 / 1
LCM(1468,1475) = 2165300

Least Common Multiple (LCM) of 1468 and 1475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1468 and 1475. First we will calculate the prime factors of 1468 and 1475.

Prime Factorization of 1468

Prime factors of 1468 are 2, 367. Prime factorization of 1468 in exponential form is:

1468 = 22 × 3671

Prime Factorization of 1475

Prime factors of 1475 are 5, 59. Prime factorization of 1475 in exponential form is:

1475 = 52 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 1468 and 1475.

LCM(1468,1475) = 22 × 3671 × 52 × 591
LCM(1468,1475) = 2165300