What is the Least Common Multiple of 76363 and 76377?
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 76363 and 76377 is 833196693.
LCM(76363,76377) = 833196693
Least Common Multiple of 76363 and 76377 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76363 and 76377, than apply into the LCM equation.
GCF(76363,76377) = 7
LCM(76363,76377) = ( 76363 × 76377) / 7
LCM(76363,76377) = 5832376851 / 7
LCM(76363,76377) = 833196693
Least Common Multiple (LCM) of 76363 and 76377 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76363 and 76377. First we will calculate the prime factors of 76363 and 76377.
Prime Factorization of 76363
Prime factors of 76363 are 7, 10909. Prime factorization of 76363 in exponential form is:
76363 = 71 × 109091
Prime Factorization of 76377
Prime factors of 76377 are 3, 7, 3637. Prime factorization of 76377 in exponential form is:
76377 = 31 × 71 × 36371
Now multiplying the highest exponent prime factors to calculate the LCM of 76363 and 76377.
LCM(76363,76377) = 71 × 109091 × 31 × 36371
LCM(76363,76377) = 833196693
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