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What is the Least Common Multiple of 79069 and 79079?

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 79069 and 79079 is 6252697451.

LCM(79069,79079) = 6252697451

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Least Common Multiple of 79069 and 79079 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79069 and 79079, than apply into the LCM equation.

GCF(79069,79079) = 1
LCM(79069,79079) = ( 79069 × 79079) / 1
LCM(79069,79079) = 6252697451 / 1
LCM(79069,79079) = 6252697451

Least Common Multiple (LCM) of 79069 and 79079 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79069 and 79079. First we will calculate the prime factors of 79069 and 79079.

Prime Factorization of 79069

Prime factors of 79069 are 37, 2137. Prime factorization of 79069 in exponential form is:

79069 = 371 × 21371

Prime Factorization of 79079

Prime factors of 79079 are 7, 11, 13, 79. Prime factorization of 79079 in exponential form is:

79079 = 71 × 111 × 131 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 79069 and 79079.

LCM(79069,79079) = 371 × 21371 × 71 × 111 × 131 × 791
LCM(79069,79079) = 6252697451