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What is the Least Common Multiple of 94505 and 94515?

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 94505 and 94515 is 1786428015.

LCM(94505,94515) = 1786428015

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Least Common Multiple of 94505 and 94515 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94505 and 94515, than apply into the LCM equation.

GCF(94505,94515) = 5
LCM(94505,94515) = ( 94505 × 94515) / 5
LCM(94505,94515) = 8932140075 / 5
LCM(94505,94515) = 1786428015

Least Common Multiple (LCM) of 94505 and 94515 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94505 and 94515. First we will calculate the prime factors of 94505 and 94515.

Prime Factorization of 94505

Prime factors of 94505 are 5, 41, 461. Prime factorization of 94505 in exponential form is:

94505 = 51 × 411 × 4611

Prime Factorization of 94515

Prime factors of 94515 are 3, 5, 6301. Prime factorization of 94515 in exponential form is:

94515 = 31 × 51 × 63011

Now multiplying the highest exponent prime factors to calculate the LCM of 94505 and 94515.

LCM(94505,94515) = 51 × 411 × 4611 × 31 × 63011
LCM(94505,94515) = 1786428015