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What is the Least Common Multiple of 9258 and 9270?

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 9258 and 9270 is 14303610.

LCM(9258,9270) = 14303610

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Least Common Multiple of 9258 and 9270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9258 and 9270, than apply into the LCM equation.

GCF(9258,9270) = 6
LCM(9258,9270) = ( 9258 × 9270) / 6
LCM(9258,9270) = 85821660 / 6
LCM(9258,9270) = 14303610

Least Common Multiple (LCM) of 9258 and 9270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9258 and 9270. First we will calculate the prime factors of 9258 and 9270.

Prime Factorization of 9258

Prime factors of 9258 are 2, 3, 1543. Prime factorization of 9258 in exponential form is:

9258 = 21 × 31 × 15431

Prime Factorization of 9270

Prime factors of 9270 are 2, 3, 5, 103. Prime factorization of 9270 in exponential form is:

9270 = 21 × 32 × 51 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 9258 and 9270.

LCM(9258,9270) = 21 × 32 × 15431 × 51 × 1031
LCM(9258,9270) = 14303610