What is the Least Common Multiple of 79663 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 79663 and 79669 is 6346671547.
LCM(79663,79669) = 6346671547
Least Common Multiple of 79663 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 79663 and 79669, than apply into the LCM equation.
GCF(79663,79669) = 1
LCM(79663,79669) = ( 79663 × 79669) / 1
LCM(79663,79669) = 6346671547 / 1
LCM(79663,79669) = 6346671547
Least Common Multiple (LCM) of 79663 and 79669 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79663 and 79669. First we will calculate the prime factors of 79663 and 79669.
Prime Factorization of 79663
Prime factors of 79663 are 29, 41, 67. Prime factorization of 79663 in exponential form is:
79663 = 291 × 411 × 671
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 79663 and 79669.
LCM(79663,79669) = 291 × 411 × 671 × 796691
LCM(79663,79669) = 6346671547
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