What is the Least Common Multiple of 76918 and 76923?
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 76918 and 76923 is 5916763314.
LCM(76918,76923) = 5916763314
Least Common Multiple of 76918 and 76923 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76918 and 76923, than apply into the LCM equation.
GCF(76918,76923) = 1
LCM(76918,76923) = ( 76918 × 76923) / 1
LCM(76918,76923) = 5916763314 / 1
LCM(76918,76923) = 5916763314
Least Common Multiple (LCM) of 76918 and 76923 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76918 and 76923. First we will calculate the prime factors of 76918 and 76923.
Prime Factorization of 76918
Prime factors of 76918 are 2, 38459. Prime factorization of 76918 in exponential form is:
76918 = 21 × 384591
Prime Factorization of 76923
Prime factors of 76923 are 3, 7, 11, 37. Prime factorization of 76923 in exponential form is:
76923 = 33 × 71 × 111 × 371
Now multiplying the highest exponent prime factors to calculate the LCM of 76918 and 76923.
LCM(76918,76923) = 21 × 384591 × 33 × 71 × 111 × 371
LCM(76918,76923) = 5916763314
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