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What is the Least Common Multiple of 65865 and 65885?

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 65865 and 65885 is 867903105.

LCM(65865,65885) = 867903105

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Least Common Multiple of 65865 and 65885 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65865 and 65885, than apply into the LCM equation.

GCF(65865,65885) = 5
LCM(65865,65885) = ( 65865 × 65885) / 5
LCM(65865,65885) = 4339515525 / 5
LCM(65865,65885) = 867903105

Least Common Multiple (LCM) of 65865 and 65885 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65865 and 65885. First we will calculate the prime factors of 65865 and 65885.

Prime Factorization of 65865

Prime factors of 65865 are 3, 5, 4391. Prime factorization of 65865 in exponential form is:

65865 = 31 × 51 × 43911

Prime Factorization of 65885

Prime factors of 65885 are 5, 13177. Prime factorization of 65885 in exponential form is:

65885 = 51 × 131771

Now multiplying the highest exponent prime factors to calculate the LCM of 65865 and 65885.

LCM(65865,65885) = 31 × 51 × 43911 × 131771
LCM(65865,65885) = 867903105