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What is the Least Common Multiple of 8070 and 8076?

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 8070 and 8076 is 10862220.

LCM(8070,8076) = 10862220

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Least Common Multiple of 8070 and 8076 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8070 and 8076, than apply into the LCM equation.

GCF(8070,8076) = 6
LCM(8070,8076) = ( 8070 × 8076) / 6
LCM(8070,8076) = 65173320 / 6
LCM(8070,8076) = 10862220

Least Common Multiple (LCM) of 8070 and 8076 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8070 and 8076. First we will calculate the prime factors of 8070 and 8076.

Prime Factorization of 8070

Prime factors of 8070 are 2, 3, 5, 269. Prime factorization of 8070 in exponential form is:

8070 = 21 × 31 × 51 × 2691

Prime Factorization of 8076

Prime factors of 8076 are 2, 3, 673. Prime factorization of 8076 in exponential form is:

8076 = 22 × 31 × 6731

Now multiplying the highest exponent prime factors to calculate the LCM of 8070 and 8076.

LCM(8070,8076) = 22 × 31 × 51 × 2691 × 6731
LCM(8070,8076) = 10862220