What is the Least Common Multiple of 76423 and 76437?
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 76423 and 76437 is 5841544851.
LCM(76423,76437) = 5841544851
Least Common Multiple of 76423 and 76437 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76423 and 76437, than apply into the LCM equation.
GCF(76423,76437) = 1
LCM(76423,76437) = ( 76423 × 76437) / 1
LCM(76423,76437) = 5841544851 / 1
LCM(76423,76437) = 5841544851
Least Common Multiple (LCM) of 76423 and 76437 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76423 and 76437. First we will calculate the prime factors of 76423 and 76437.
Prime Factorization of 76423
Prime factors of 76423 are 76423. Prime factorization of 76423 in exponential form is:
76423 = 764231
Prime Factorization of 76437
Prime factors of 76437 are 3, 19, 149. Prime factorization of 76437 in exponential form is:
76437 = 33 × 191 × 1491
Now multiplying the highest exponent prime factors to calculate the LCM of 76423 and 76437.
LCM(76423,76437) = 764231 × 33 × 191 × 1491
LCM(76423,76437) = 5841544851
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