What is the Least Common Multiple of 96412 and 96427?
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 96412 and 96427 is 9296719924.
LCM(96412,96427) = 9296719924
Least Common Multiple of 96412 and 96427 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96412 and 96427, than apply into the LCM equation.
GCF(96412,96427) = 1
LCM(96412,96427) = ( 96412 × 96427) / 1
LCM(96412,96427) = 9296719924 / 1
LCM(96412,96427) = 9296719924
Least Common Multiple (LCM) of 96412 and 96427 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96412 and 96427. First we will calculate the prime factors of 96412 and 96427.
Prime Factorization of 96412
Prime factors of 96412 are 2, 24103. Prime factorization of 96412 in exponential form is:
96412 = 22 × 241031
Prime Factorization of 96427
Prime factors of 96427 are 211, 457. Prime factorization of 96427 in exponential form is:
96427 = 2111 × 4571
Now multiplying the highest exponent prime factors to calculate the LCM of 96412 and 96427.
LCM(96412,96427) = 22 × 241031 × 2111 × 4571
LCM(96412,96427) = 9296719924
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