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What is the Least Common Multiple of 80069 and 80079?

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 80069 and 80079 is 6411845451.

LCM(80069,80079) = 6411845451

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Least Common Multiple of 80069 and 80079 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80069 and 80079, than apply into the LCM equation.

GCF(80069,80079) = 1
LCM(80069,80079) = ( 80069 × 80079) / 1
LCM(80069,80079) = 6411845451 / 1
LCM(80069,80079) = 6411845451

Least Common Multiple (LCM) of 80069 and 80079 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80069 and 80079. First we will calculate the prime factors of 80069 and 80079.

Prime Factorization of 80069

Prime factors of 80069 are 11, 29, 251. Prime factorization of 80069 in exponential form is:

80069 = 111 × 291 × 2511

Prime Factorization of 80079

Prime factors of 80079 are 3, 26693. Prime factorization of 80079 in exponential form is:

80079 = 31 × 266931

Now multiplying the highest exponent prime factors to calculate the LCM of 80069 and 80079.

LCM(80069,80079) = 111 × 291 × 2511 × 31 × 266931
LCM(80069,80079) = 6411845451