What is the Least Common Multiple of 79677 and 79694?
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 79677 and 79694 is 6349778838.
LCM(79677,79694) = 6349778838
Least Common Multiple of 79677 and 79694 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79677 and 79694, than apply into the LCM equation.
GCF(79677,79694) = 1
LCM(79677,79694) = ( 79677 × 79694) / 1
LCM(79677,79694) = 6349778838 / 1
LCM(79677,79694) = 6349778838
Least Common Multiple (LCM) of 79677 and 79694 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79677 and 79694. First we will calculate the prime factors of 79677 and 79694.
Prime Factorization of 79677
Prime factors of 79677 are 3, 13, 227. Prime factorization of 79677 in exponential form is:
79677 = 33 × 131 × 2271
Prime Factorization of 79694
Prime factors of 79694 are 2, 39847. Prime factorization of 79694 in exponential form is:
79694 = 21 × 398471
Now multiplying the highest exponent prime factors to calculate the LCM of 79677 and 79694.
LCM(79677,79694) = 33 × 131 × 2271 × 21 × 398471
LCM(79677,79694) = 6349778838
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