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What is the Least Common Multiple of 94765 and 94780?

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 94765 and 94780 is 1796365340.

LCM(94765,94780) = 1796365340

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Least Common Multiple of 94765 and 94780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94765 and 94780, than apply into the LCM equation.

GCF(94765,94780) = 5
LCM(94765,94780) = ( 94765 × 94780) / 5
LCM(94765,94780) = 8981826700 / 5
LCM(94765,94780) = 1796365340

Least Common Multiple (LCM) of 94765 and 94780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94765 and 94780. First we will calculate the prime factors of 94765 and 94780.

Prime Factorization of 94765

Prime factors of 94765 are 5, 11, 1723. Prime factorization of 94765 in exponential form is:

94765 = 51 × 111 × 17231

Prime Factorization of 94780

Prime factors of 94780 are 2, 5, 7, 677. Prime factorization of 94780 in exponential form is:

94780 = 22 × 51 × 71 × 6771

Now multiplying the highest exponent prime factors to calculate the LCM of 94765 and 94780.

LCM(94765,94780) = 51 × 111 × 17231 × 22 × 71 × 6771
LCM(94765,94780) = 1796365340