What is the Least Common Multiple of 76048 and 76063?
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 76048 and 76063 is 5784439024.
LCM(76048,76063) = 5784439024
Least Common Multiple of 76048 and 76063 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76048 and 76063, than apply into the LCM equation.
GCF(76048,76063) = 1
LCM(76048,76063) = ( 76048 × 76063) / 1
LCM(76048,76063) = 5784439024 / 1
LCM(76048,76063) = 5784439024
Least Common Multiple (LCM) of 76048 and 76063 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76048 and 76063. First we will calculate the prime factors of 76048 and 76063.
Prime Factorization of 76048
Prime factors of 76048 are 2, 7, 97. Prime factorization of 76048 in exponential form is:
76048 = 24 × 72 × 971
Prime Factorization of 76063
Prime factors of 76063 are 13, 5851. Prime factorization of 76063 in exponential form is:
76063 = 131 × 58511
Now multiplying the highest exponent prime factors to calculate the LCM of 76048 and 76063.
LCM(76048,76063) = 24 × 72 × 971 × 131 × 58511
LCM(76048,76063) = 5784439024
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