What is the Least Common Multiple of 79073 and 79079?
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 79073 and 79079 is 6253013767.
LCM(79073,79079) = 6253013767
Least Common Multiple of 79073 and 79079 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79073 and 79079, than apply into the LCM equation.
GCF(79073,79079) = 1
LCM(79073,79079) = ( 79073 × 79079) / 1
LCM(79073,79079) = 6253013767 / 1
LCM(79073,79079) = 6253013767
Least Common Multiple (LCM) of 79073 and 79079 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79073 and 79079. First we will calculate the prime factors of 79073 and 79079.
Prime Factorization of 79073
Prime factors of 79073 are 107, 739. Prime factorization of 79073 in exponential form is:
79073 = 1071 × 7391
Prime Factorization of 79079
Prime factors of 79079 are 7, 11, 13, 79. Prime factorization of 79079 in exponential form is:
79079 = 71 × 111 × 131 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 79073 and 79079.
LCM(79073,79079) = 1071 × 7391 × 71 × 111 × 131 × 791
LCM(79073,79079) = 6253013767
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