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What is the Least Common Multiple of 91780 and 91785?

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 91780 and 91785 is 1684805460.

LCM(91780,91785) = 1684805460

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Least Common Multiple of 91780 and 91785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91780 and 91785, than apply into the LCM equation.

GCF(91780,91785) = 5
LCM(91780,91785) = ( 91780 × 91785) / 5
LCM(91780,91785) = 8424027300 / 5
LCM(91780,91785) = 1684805460

Least Common Multiple (LCM) of 91780 and 91785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91780 and 91785. First we will calculate the prime factors of 91780 and 91785.

Prime Factorization of 91780

Prime factors of 91780 are 2, 5, 13, 353. Prime factorization of 91780 in exponential form is:

91780 = 22 × 51 × 131 × 3531

Prime Factorization of 91785

Prime factors of 91785 are 3, 5, 29, 211. Prime factorization of 91785 in exponential form is:

91785 = 31 × 51 × 291 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 91780 and 91785.

LCM(91780,91785) = 22 × 51 × 131 × 3531 × 31 × 291 × 2111
LCM(91780,91785) = 1684805460