What is the Least Common Multiple of 79039 and 79053?
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 79039 and 79053 is 6248270067.
LCM(79039,79053) = 6248270067
Least Common Multiple of 79039 and 79053 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79039 and 79053, than apply into the LCM equation.
GCF(79039,79053) = 1
LCM(79039,79053) = ( 79039 × 79053) / 1
LCM(79039,79053) = 6248270067 / 1
LCM(79039,79053) = 6248270067
Least Common Multiple (LCM) of 79039 and 79053 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79039 and 79053. First we will calculate the prime factors of 79039 and 79053.
Prime Factorization of 79039
Prime factors of 79039 are 79039. Prime factorization of 79039 in exponential form is:
79039 = 790391
Prime Factorization of 79053
Prime factors of 79053 are 3, 13, 2027. Prime factorization of 79053 in exponential form is:
79053 = 31 × 131 × 20271
Now multiplying the highest exponent prime factors to calculate the LCM of 79039 and 79053.
LCM(79039,79053) = 790391 × 31 × 131 × 20271
LCM(79039,79053) = 6248270067
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