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What is the Least Common Multiple of 8070 and 8080?

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 8080 is 6520560.

LCM(8070,8080) = 6520560

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Least Common Multiple of 8070 and 8080 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 8080, than apply into the LCM equation.

GCF(8070,8080) = 10
LCM(8070,8080) = ( 8070 × 8080) / 10
LCM(8070,8080) = 65205600 / 10
LCM(8070,8080) = 6520560

Least Common Multiple (LCM) of 8070 and 8080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8070 and 8080. First we will calculate the prime factors of 8070 and 8080.

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 8080

Prime factors of 8080 are 2, 5, 101. Prime factorization of 8080 in exponential form is:

8080 = 24 × 51 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 8070 and 8080.

LCM(8070,8080) = 24 × 31 × 51 × 2691 × 1011
LCM(8070,8080) = 6520560