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What is the Least Common Multiple of 30525 and 30537?

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 30537 is 310713975.

LCM(30525,30537) = 310713975

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Least Common Multiple of 30525 and 30537 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 30537, than apply into the LCM equation.

GCF(30525,30537) = 3
LCM(30525,30537) = ( 30525 × 30537) / 3
LCM(30525,30537) = 932141925 / 3
LCM(30525,30537) = 310713975

Least Common Multiple (LCM) of 30525 and 30537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30525 and 30537. First we will calculate the prime factors of 30525 and 30537.

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 30537

Prime factors of 30537 are 3, 13, 29. Prime factorization of 30537 in exponential form is:

30537 = 34 × 131 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 30525 and 30537.

LCM(30525,30537) = 34 × 52 × 111 × 371 × 131 × 291
LCM(30525,30537) = 310713975