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What is the Least Common Multiple of 65765 and 65780?

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 65765 and 65780 is 865204340.

LCM(65765,65780) = 865204340

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Least Common Multiple of 65765 and 65780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65765 and 65780, than apply into the LCM equation.

GCF(65765,65780) = 5
LCM(65765,65780) = ( 65765 × 65780) / 5
LCM(65765,65780) = 4326021700 / 5
LCM(65765,65780) = 865204340

Least Common Multiple (LCM) of 65765 and 65780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65765 and 65780. First we will calculate the prime factors of 65765 and 65780.

Prime Factorization of 65765

Prime factors of 65765 are 5, 7, 1879. Prime factorization of 65765 in exponential form is:

65765 = 51 × 71 × 18791

Prime Factorization of 65780

Prime factors of 65780 are 2, 5, 11, 13, 23. Prime factorization of 65780 in exponential form is:

65780 = 22 × 51 × 111 × 131 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 65765 and 65780.

LCM(65765,65780) = 51 × 71 × 18791 × 22 × 111 × 131 × 231
LCM(65765,65780) = 865204340