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What is the Least Common Multiple of 3462 and 3475?

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 3462 and 3475 is 12030450.

LCM(3462,3475) = 12030450

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Least Common Multiple of 3462 and 3475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3462 and 3475, than apply into the LCM equation.

GCF(3462,3475) = 1
LCM(3462,3475) = ( 3462 × 3475) / 1
LCM(3462,3475) = 12030450 / 1
LCM(3462,3475) = 12030450

Least Common Multiple (LCM) of 3462 and 3475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3462 and 3475. First we will calculate the prime factors of 3462 and 3475.

Prime Factorization of 3462

Prime factors of 3462 are 2, 3, 577. Prime factorization of 3462 in exponential form is:

3462 = 21 × 31 × 5771

Prime Factorization of 3475

Prime factors of 3475 are 5, 139. Prime factorization of 3475 in exponential form is:

3475 = 52 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 3462 and 3475.

LCM(3462,3475) = 21 × 31 × 5771 × 52 × 1391
LCM(3462,3475) = 12030450