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What is the Least Common Multiple of 79658 and 79669?

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 79658 and 79669 is 6346273202.

LCM(79658,79669) = 6346273202

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Least Common Multiple of 79658 and 79669 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79658 and 79669, than apply into the LCM equation.

GCF(79658,79669) = 1
LCM(79658,79669) = ( 79658 × 79669) / 1
LCM(79658,79669) = 6346273202 / 1
LCM(79658,79669) = 6346273202

Least Common Multiple (LCM) of 79658 and 79669 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79658 and 79669. First we will calculate the prime factors of 79658 and 79669.

Prime Factorization of 79658

Prime factors of 79658 are 2, 39829. Prime factorization of 79658 in exponential form is:

79658 = 21 × 398291

Prime Factorization of 79669

Prime factors of 79669 are 79669. Prime factorization of 79669 in exponential form is:

79669 = 796691

Now multiplying the highest exponent prime factors to calculate the LCM of 79658 and 79669.

LCM(79658,79669) = 21 × 398291 × 796691
LCM(79658,79669) = 6346273202