What is the Least Common Multiple of 96036 and 96043?
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 96036 and 96043 is 9223585548.
LCM(96036,96043) = 9223585548
Least Common Multiple of 96036 and 96043 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96036 and 96043, than apply into the LCM equation.
GCF(96036,96043) = 1
LCM(96036,96043) = ( 96036 × 96043) / 1
LCM(96036,96043) = 9223585548 / 1
LCM(96036,96043) = 9223585548
Least Common Multiple (LCM) of 96036 and 96043 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96036 and 96043. First we will calculate the prime factors of 96036 and 96043.
Prime Factorization of 96036
Prime factors of 96036 are 2, 3, 53, 151. Prime factorization of 96036 in exponential form is:
96036 = 22 × 31 × 531 × 1511
Prime Factorization of 96043
Prime factors of 96043 are 96043. Prime factorization of 96043 in exponential form is:
96043 = 960431
Now multiplying the highest exponent prime factors to calculate the LCM of 96036 and 96043.
LCM(96036,96043) = 22 × 31 × 531 × 1511 × 960431
LCM(96036,96043) = 9223585548
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