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What is the Least Common Multiple of 3525 and 3535?

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 3525 and 3535 is 2492175.

LCM(3525,3535) = 2492175

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Least Common Multiple of 3525 and 3535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3525 and 3535, than apply into the LCM equation.

GCF(3525,3535) = 5
LCM(3525,3535) = ( 3525 × 3535) / 5
LCM(3525,3535) = 12460875 / 5
LCM(3525,3535) = 2492175

Least Common Multiple (LCM) of 3525 and 3535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3525 and 3535. First we will calculate the prime factors of 3525 and 3535.

Prime Factorization of 3525

Prime factors of 3525 are 3, 5, 47. Prime factorization of 3525 in exponential form is:

3525 = 31 × 52 × 471

Prime Factorization of 3535

Prime factors of 3535 are 5, 7, 101. Prime factorization of 3535 in exponential form is:

3535 = 51 × 71 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 3525 and 3535.

LCM(3525,3535) = 31 × 52 × 471 × 71 × 1011
LCM(3525,3535) = 2492175