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What is the Least Common Multiple of 79469 and 79481?

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 79469 and 79481 is 6316275589.

LCM(79469,79481) = 6316275589

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Least Common Multiple of 79469 and 79481 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79469 and 79481, than apply into the LCM equation.

GCF(79469,79481) = 1
LCM(79469,79481) = ( 79469 × 79481) / 1
LCM(79469,79481) = 6316275589 / 1
LCM(79469,79481) = 6316275589

Least Common Multiple (LCM) of 79469 and 79481 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79469 and 79481. First we will calculate the prime factors of 79469 and 79481.

Prime Factorization of 79469

Prime factors of 79469 are 13, 6113. Prime factorization of 79469 in exponential form is:

79469 = 131 × 61131

Prime Factorization of 79481

Prime factors of 79481 are 79481. Prime factorization of 79481 in exponential form is:

79481 = 794811

Now multiplying the highest exponent prime factors to calculate the LCM of 79469 and 79481.

LCM(79469,79481) = 131 × 61131 × 794811
LCM(79469,79481) = 6316275589