What is the Least Common Multiple of 79357 and 79363?
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 79357 and 79363 is 6298009591.
LCM(79357,79363) = 6298009591
Least Common Multiple of 79357 and 79363 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79357 and 79363, than apply into the LCM equation.
GCF(79357,79363) = 1
LCM(79357,79363) = ( 79357 × 79363) / 1
LCM(79357,79363) = 6298009591 / 1
LCM(79357,79363) = 6298009591
Least Common Multiple (LCM) of 79357 and 79363 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79357 and 79363. First we will calculate the prime factors of 79357 and 79363.
Prime Factorization of 79357
Prime factors of 79357 are 79357. Prime factorization of 79357 in exponential form is:
79357 = 793571
Prime Factorization of 79363
Prime factors of 79363 are 19, 4177. Prime factorization of 79363 in exponential form is:
79363 = 191 × 41771
Now multiplying the highest exponent prime factors to calculate the LCM of 79357 and 79363.
LCM(79357,79363) = 793571 × 191 × 41771
LCM(79357,79363) = 6298009591
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