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What is the Least Common Multiple of 65786 and 65795?

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 65786 and 65795 is 4328389870.

LCM(65786,65795) = 4328389870

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Least Common Multiple of 65786 and 65795 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65786 and 65795, than apply into the LCM equation.

GCF(65786,65795) = 1
LCM(65786,65795) = ( 65786 × 65795) / 1
LCM(65786,65795) = 4328389870 / 1
LCM(65786,65795) = 4328389870

Least Common Multiple (LCM) of 65786 and 65795 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65786 and 65795. First we will calculate the prime factors of 65786 and 65795.

Prime Factorization of 65786

Prime factors of 65786 are 2, 7, 37, 127. Prime factorization of 65786 in exponential form is:

65786 = 21 × 71 × 371 × 1271

Prime Factorization of 65795

Prime factors of 65795 are 5, 13159. Prime factorization of 65795 in exponential form is:

65795 = 51 × 131591

Now multiplying the highest exponent prime factors to calculate the LCM of 65786 and 65795.

LCM(65786,65795) = 21 × 71 × 371 × 1271 × 51 × 131591
LCM(65786,65795) = 4328389870