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What is the Least Common Multiple of 9525 and 9534?

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 9525 and 9534 is 30270450.

LCM(9525,9534) = 30270450

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Least Common Multiple of 9525 and 9534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9525 and 9534, than apply into the LCM equation.

GCF(9525,9534) = 3
LCM(9525,9534) = ( 9525 × 9534) / 3
LCM(9525,9534) = 90811350 / 3
LCM(9525,9534) = 30270450

Least Common Multiple (LCM) of 9525 and 9534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9525 and 9534. First we will calculate the prime factors of 9525 and 9534.

Prime Factorization of 9525

Prime factors of 9525 are 3, 5, 127. Prime factorization of 9525 in exponential form is:

9525 = 31 × 52 × 1271

Prime Factorization of 9534

Prime factors of 9534 are 2, 3, 7, 227. Prime factorization of 9534 in exponential form is:

9534 = 21 × 31 × 71 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 9525 and 9534.

LCM(9525,9534) = 31 × 52 × 1271 × 21 × 71 × 2271
LCM(9525,9534) = 30270450