What is the Least Common Multiple of 76327 and 76332?
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 76327 and 76332 is 5826192564.
LCM(76327,76332) = 5826192564
Least Common Multiple of 76327 and 76332 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76327 and 76332, than apply into the LCM equation.
GCF(76327,76332) = 1
LCM(76327,76332) = ( 76327 × 76332) / 1
LCM(76327,76332) = 5826192564 / 1
LCM(76327,76332) = 5826192564
Least Common Multiple (LCM) of 76327 and 76332 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76327 and 76332. First we will calculate the prime factors of 76327 and 76332.
Prime Factorization of 76327
Prime factors of 76327 are 127, 601. Prime factorization of 76327 in exponential form is:
76327 = 1271 × 6011
Prime Factorization of 76332
Prime factors of 76332 are 2, 3, 6361. Prime factorization of 76332 in exponential form is:
76332 = 22 × 31 × 63611
Now multiplying the highest exponent prime factors to calculate the LCM of 76327 and 76332.
LCM(76327,76332) = 1271 × 6011 × 22 × 31 × 63611
LCM(76327,76332) = 5826192564
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Related Least Common Multiples of 76332
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