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What is the Least Common Multiple of 79655 and 79673?

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 79655 and 79673 is 6346352815.

LCM(79655,79673) = 6346352815

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Least Common Multiple of 79655 and 79673 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79655 and 79673, than apply into the LCM equation.

GCF(79655,79673) = 1
LCM(79655,79673) = ( 79655 × 79673) / 1
LCM(79655,79673) = 6346352815 / 1
LCM(79655,79673) = 6346352815

Least Common Multiple (LCM) of 79655 and 79673 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79655 and 79673. First we will calculate the prime factors of 79655 and 79673.

Prime Factorization of 79655

Prime factors of 79655 are 5, 89, 179. Prime factorization of 79655 in exponential form is:

79655 = 51 × 891 × 1791

Prime Factorization of 79673

Prime factors of 79673 are 11, 7243. Prime factorization of 79673 in exponential form is:

79673 = 111 × 72431

Now multiplying the highest exponent prime factors to calculate the LCM of 79655 and 79673.

LCM(79655,79673) = 51 × 891 × 1791 × 111 × 72431
LCM(79655,79673) = 6346352815