What is the Least Common Multiple of 76371 and 76379?
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 76371 and 76379 is 5833140609.
LCM(76371,76379) = 5833140609
Least Common Multiple of 76371 and 76379 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76371 and 76379, than apply into the LCM equation.
GCF(76371,76379) = 1
LCM(76371,76379) = ( 76371 × 76379) / 1
LCM(76371,76379) = 5833140609 / 1
LCM(76371,76379) = 5833140609
Least Common Multiple (LCM) of 76371 and 76379 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76371 and 76379. First we will calculate the prime factors of 76371 and 76379.
Prime Factorization of 76371
Prime factors of 76371 are 3, 25457. Prime factorization of 76371 in exponential form is:
76371 = 31 × 254571
Prime Factorization of 76379
Prime factors of 76379 are 76379. Prime factorization of 76379 in exponential form is:
76379 = 763791
Now multiplying the highest exponent prime factors to calculate the LCM of 76371 and 76379.
LCM(76371,76379) = 31 × 254571 × 763791
LCM(76371,76379) = 5833140609
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