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What is the Least Common Multiple of 80865 and 80885?

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 80865 and 80885 is 1308153105.

LCM(80865,80885) = 1308153105

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Least Common Multiple of 80865 and 80885 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80865 and 80885, than apply into the LCM equation.

GCF(80865,80885) = 5
LCM(80865,80885) = ( 80865 × 80885) / 5
LCM(80865,80885) = 6540765525 / 5
LCM(80865,80885) = 1308153105

Least Common Multiple (LCM) of 80865 and 80885 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80865 and 80885. First we will calculate the prime factors of 80865 and 80885.

Prime Factorization of 80865

Prime factors of 80865 are 3, 5, 599. Prime factorization of 80865 in exponential form is:

80865 = 33 × 51 × 5991

Prime Factorization of 80885

Prime factors of 80885 are 5, 7, 2311. Prime factorization of 80885 in exponential form is:

80885 = 51 × 71 × 23111

Now multiplying the highest exponent prime factors to calculate the LCM of 80865 and 80885.

LCM(80865,80885) = 33 × 51 × 5991 × 71 × 23111
LCM(80865,80885) = 1308153105