What is the Least Common Multiple of 79667 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 79667 and 79673 is 6347308891.
LCM(79667,79673) = 6347308891
Least Common Multiple of 79667 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 79667 and 79673, than apply into the LCM equation.
GCF(79667,79673) = 1
LCM(79667,79673) = ( 79667 × 79673) / 1
LCM(79667,79673) = 6347308891 / 1
LCM(79667,79673) = 6347308891
Least Common Multiple (LCM) of 79667 and 79673 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79667 and 79673. First we will calculate the prime factors of 79667 and 79673.
Prime Factorization of 79667
Prime factors of 79667 are 7, 19, 599. Prime factorization of 79667 in exponential form is:
79667 = 71 × 191 × 5991
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 79667 and 79673.
LCM(79667,79673) = 71 × 191 × 5991 × 111 × 72431
LCM(79667,79673) = 6347308891
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