What is the Least Common Multiple of 79927 and 79946?
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 79927 and 79946 is 6389843942.
LCM(79927,79946) = 6389843942
Least Common Multiple of 79927 and 79946 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79927 and 79946, than apply into the LCM equation.
GCF(79927,79946) = 1
LCM(79927,79946) = ( 79927 × 79946) / 1
LCM(79927,79946) = 6389843942 / 1
LCM(79927,79946) = 6389843942
Least Common Multiple (LCM) of 79927 and 79946 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79927 and 79946. First we will calculate the prime factors of 79927 and 79946.
Prime Factorization of 79927
Prime factors of 79927 are 257, 311. Prime factorization of 79927 in exponential form is:
79927 = 2571 × 3111
Prime Factorization of 79946
Prime factors of 79946 are 2, 71, 563. Prime factorization of 79946 in exponential form is:
79946 = 21 × 711 × 5631
Now multiplying the highest exponent prime factors to calculate the LCM of 79927 and 79946.
LCM(79927,79946) = 2571 × 3111 × 21 × 711 × 5631
LCM(79927,79946) = 6389843942
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