What is the Least Common Multiple of 96185 and 96200?
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 96185 and 96200 is 1850599400.
LCM(96185,96200) = 1850599400
Least Common Multiple of 96185 and 96200 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96185 and 96200, than apply into the LCM equation.
GCF(96185,96200) = 5
LCM(96185,96200) = ( 96185 × 96200) / 5
LCM(96185,96200) = 9252997000 / 5
LCM(96185,96200) = 1850599400
Least Common Multiple (LCM) of 96185 and 96200 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96185 and 96200. First we will calculate the prime factors of 96185 and 96200.
Prime Factorization of 96185
Prime factors of 96185 are 5, 19237. Prime factorization of 96185 in exponential form is:
96185 = 51 × 192371
Prime Factorization of 96200
Prime factors of 96200 are 2, 5, 13, 37. Prime factorization of 96200 in exponential form is:
96200 = 23 × 52 × 131 × 371
Now multiplying the highest exponent prime factors to calculate the LCM of 96185 and 96200.
LCM(96185,96200) = 52 × 192371 × 23 × 131 × 371
LCM(96185,96200) = 1850599400
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