What is the Least Common Multiple of 96062 and 96067?
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 96062 and 96067 is 9228388154.
LCM(96062,96067) = 9228388154
Least Common Multiple of 96062 and 96067 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96062 and 96067, than apply into the LCM equation.
GCF(96062,96067) = 1
LCM(96062,96067) = ( 96062 × 96067) / 1
LCM(96062,96067) = 9228388154 / 1
LCM(96062,96067) = 9228388154
Least Common Multiple (LCM) of 96062 and 96067 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96062 and 96067. First we will calculate the prime factors of 96062 and 96067.
Prime Factorization of 96062
Prime factors of 96062 are 2, 43, 1117. Prime factorization of 96062 in exponential form is:
96062 = 21 × 431 × 11171
Prime Factorization of 96067
Prime factors of 96067 are 17, 5651. Prime factorization of 96067 in exponential form is:
96067 = 171 × 56511
Now multiplying the highest exponent prime factors to calculate the LCM of 96062 and 96067.
LCM(96062,96067) = 21 × 431 × 11171 × 171 × 56511
LCM(96062,96067) = 9228388154
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