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What is the Least Common Multiple of 27860 and 27865?

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 27860 and 27865 is 155263780.

LCM(27860,27865) = 155263780

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Least Common Multiple of 27860 and 27865 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27860 and 27865, than apply into the LCM equation.

GCF(27860,27865) = 5
LCM(27860,27865) = ( 27860 × 27865) / 5
LCM(27860,27865) = 776318900 / 5
LCM(27860,27865) = 155263780

Least Common Multiple (LCM) of 27860 and 27865 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27860 and 27865. First we will calculate the prime factors of 27860 and 27865.

Prime Factorization of 27860

Prime factors of 27860 are 2, 5, 7, 199. Prime factorization of 27860 in exponential form is:

27860 = 22 × 51 × 71 × 1991

Prime Factorization of 27865

Prime factors of 27865 are 5, 5573. Prime factorization of 27865 in exponential form is:

27865 = 51 × 55731

Now multiplying the highest exponent prime factors to calculate the LCM of 27860 and 27865.

LCM(27860,27865) = 22 × 51 × 71 × 1991 × 55731
LCM(27860,27865) = 155263780