What is the Least Common Multiple of 76276 and 76283?
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 76276 and 76283 is 5818562108.
LCM(76276,76283) = 5818562108
Least Common Multiple of 76276 and 76283 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76276 and 76283, than apply into the LCM equation.
GCF(76276,76283) = 1
LCM(76276,76283) = ( 76276 × 76283) / 1
LCM(76276,76283) = 5818562108 / 1
LCM(76276,76283) = 5818562108
Least Common Multiple (LCM) of 76276 and 76283 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76276 and 76283. First we will calculate the prime factors of 76276 and 76283.
Prime Factorization of 76276
Prime factors of 76276 are 2, 19069. Prime factorization of 76276 in exponential form is:
76276 = 22 × 190691
Prime Factorization of 76283
Prime factors of 76283 are 76283. Prime factorization of 76283 in exponential form is:
76283 = 762831
Now multiplying the highest exponent prime factors to calculate the LCM of 76276 and 76283.
LCM(76276,76283) = 22 × 190691 × 762831
LCM(76276,76283) = 5818562108
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