What is the Least Common Multiple of 76917 and 76937?
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 76917 and 76937 is 5917763229.
LCM(76917,76937) = 5917763229
Least Common Multiple of 76917 and 76937 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76917 and 76937, than apply into the LCM equation.
GCF(76917,76937) = 1
LCM(76917,76937) = ( 76917 × 76937) / 1
LCM(76917,76937) = 5917763229 / 1
LCM(76917,76937) = 5917763229
Least Common Multiple (LCM) of 76917 and 76937 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76917 and 76937. First we will calculate the prime factors of 76917 and 76937.
Prime Factorization of 76917
Prime factors of 76917 are 3, 25639. Prime factorization of 76917 in exponential form is:
76917 = 31 × 256391
Prime Factorization of 76937
Prime factors of 76937 are 7, 29, 379. Prime factorization of 76937 in exponential form is:
76937 = 71 × 291 × 3791
Now multiplying the highest exponent prime factors to calculate the LCM of 76917 and 76937.
LCM(76917,76937) = 31 × 256391 × 71 × 291 × 3791
LCM(76917,76937) = 5917763229
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