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What is the Least Common Multiple of 94306 and 94315?

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 94306 and 94315 is 8894470390.

LCM(94306,94315) = 8894470390

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Least Common Multiple of 94306 and 94315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94306 and 94315, than apply into the LCM equation.

GCF(94306,94315) = 1
LCM(94306,94315) = ( 94306 × 94315) / 1
LCM(94306,94315) = 8894470390 / 1
LCM(94306,94315) = 8894470390

Least Common Multiple (LCM) of 94306 and 94315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94306 and 94315. First we will calculate the prime factors of 94306 and 94315.

Prime Factorization of 94306

Prime factors of 94306 are 2, 61, 773. Prime factorization of 94306 in exponential form is:

94306 = 21 × 611 × 7731

Prime Factorization of 94315

Prime factors of 94315 are 5, 13, 1451. Prime factorization of 94315 in exponential form is:

94315 = 51 × 131 × 14511

Now multiplying the highest exponent prime factors to calculate the LCM of 94306 and 94315.

LCM(94306,94315) = 21 × 611 × 7731 × 51 × 131 × 14511
LCM(94306,94315) = 8894470390