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What is the Least Common Multiple of 80702 and 80710?

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 80702 and 80710 is 3256729210.

LCM(80702,80710) = 3256729210

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Least Common Multiple of 80702 and 80710 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80702 and 80710, than apply into the LCM equation.

GCF(80702,80710) = 2
LCM(80702,80710) = ( 80702 × 80710) / 2
LCM(80702,80710) = 6513458420 / 2
LCM(80702,80710) = 3256729210

Least Common Multiple (LCM) of 80702 and 80710 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80702 and 80710. First we will calculate the prime factors of 80702 and 80710.

Prime Factorization of 80702

Prime factors of 80702 are 2, 40351. Prime factorization of 80702 in exponential form is:

80702 = 21 × 403511

Prime Factorization of 80710

Prime factors of 80710 are 2, 5, 7, 1153. Prime factorization of 80710 in exponential form is:

80710 = 21 × 51 × 71 × 11531

Now multiplying the highest exponent prime factors to calculate the LCM of 80702 and 80710.

LCM(80702,80710) = 21 × 403511 × 51 × 71 × 11531
LCM(80702,80710) = 3256729210