What is the Least Common Multiple of 79067 and 79078?
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 79067 and 79078 is 6252460226.
LCM(79067,79078) = 6252460226
Least Common Multiple of 79067 and 79078 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79067 and 79078, than apply into the LCM equation.
GCF(79067,79078) = 1
LCM(79067,79078) = ( 79067 × 79078) / 1
LCM(79067,79078) = 6252460226 / 1
LCM(79067,79078) = 6252460226
Least Common Multiple (LCM) of 79067 and 79078 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79067 and 79078. First we will calculate the prime factors of 79067 and 79078.
Prime Factorization of 79067
Prime factors of 79067 are 17, 4651. Prime factorization of 79067 in exponential form is:
79067 = 171 × 46511
Prime Factorization of 79078
Prime factors of 79078 are 2, 19, 2081. Prime factorization of 79078 in exponential form is:
79078 = 21 × 191 × 20811
Now multiplying the highest exponent prime factors to calculate the LCM of 79067 and 79078.
LCM(79067,79078) = 171 × 46511 × 21 × 191 × 20811
LCM(79067,79078) = 6252460226
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