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What is the Least Common Multiple of 30525 and 30535?

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 30525 and 30535 is 186416175.

LCM(30525,30535) = 186416175

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Least Common Multiple of 30525 and 30535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30525 and 30535, than apply into the LCM equation.

GCF(30525,30535) = 5
LCM(30525,30535) = ( 30525 × 30535) / 5
LCM(30525,30535) = 932080875 / 5
LCM(30525,30535) = 186416175

Least Common Multiple (LCM) of 30525 and 30535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30525 and 30535. First we will calculate the prime factors of 30525 and 30535.

Prime Factorization of 30525

Prime factors of 30525 are 3, 5, 11, 37. Prime factorization of 30525 in exponential form is:

30525 = 31 × 52 × 111 × 371

Prime Factorization of 30535

Prime factors of 30535 are 5, 31, 197. Prime factorization of 30535 in exponential form is:

30535 = 51 × 311 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 30525 and 30535.

LCM(30525,30535) = 31 × 52 × 111 × 371 × 311 × 1971
LCM(30525,30535) = 186416175