What is the Least Common Multiple of 79367 and 79373?
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 79367 and 79373 is 6299596891.
LCM(79367,79373) = 6299596891
Least Common Multiple of 79367 and 79373 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79367 and 79373, than apply into the LCM equation.
GCF(79367,79373) = 1
LCM(79367,79373) = ( 79367 × 79373) / 1
LCM(79367,79373) = 6299596891 / 1
LCM(79367,79373) = 6299596891
Least Common Multiple (LCM) of 79367 and 79373 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79367 and 79373. First we will calculate the prime factors of 79367 and 79373.
Prime Factorization of 79367
Prime factors of 79367 are 79367. Prime factorization of 79367 in exponential form is:
79367 = 793671
Prime Factorization of 79373
Prime factors of 79373 are 7, 17, 23, 29. Prime factorization of 79373 in exponential form is:
79373 = 71 × 171 × 231 × 291
Now multiplying the highest exponent prime factors to calculate the LCM of 79367 and 79373.
LCM(79367,79373) = 793671 × 71 × 171 × 231 × 291
LCM(79367,79373) = 6299596891
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