What is the Least Common Multiple of 76919 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 76919 and 76923 is 5916840237.
LCM(76919,76923) = 5916840237
Least Common Multiple of 76919 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 76919 and 76923, than apply into the LCM equation.
GCF(76919,76923) = 1
LCM(76919,76923) = ( 76919 × 76923) / 1
LCM(76919,76923) = 5916840237 / 1
LCM(76919,76923) = 5916840237
Least Common Multiple (LCM) of 76919 and 76923 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76919 and 76923. First we will calculate the prime factors of 76919 and 76923.
Prime Factorization of 76919
Prime factors of 76919 are 76919. Prime factorization of 76919 in exponential form is:
76919 = 769191
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 76919 and 76923.
LCM(76919,76923) = 769191 × 33 × 71 × 111 × 371
LCM(76919,76923) = 5916840237
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