What is the Least Common Multiple of 96192 and 96210?
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 96192 and 96210 is 514146240.
LCM(96192,96210) = 514146240
Least Common Multiple of 96192 and 96210 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96192 and 96210, than apply into the LCM equation.
GCF(96192,96210) = 18
LCM(96192,96210) = ( 96192 × 96210) / 18
LCM(96192,96210) = 9254632320 / 18
LCM(96192,96210) = 514146240
Least Common Multiple (LCM) of 96192 and 96210 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96192 and 96210. First we will calculate the prime factors of 96192 and 96210.
Prime Factorization of 96192
Prime factors of 96192 are 2, 3, 167. Prime factorization of 96192 in exponential form is:
96192 = 26 × 32 × 1671
Prime Factorization of 96210
Prime factors of 96210 are 2, 3, 5, 1069. Prime factorization of 96210 in exponential form is:
96210 = 21 × 32 × 51 × 10691
Now multiplying the highest exponent prime factors to calculate the LCM of 96192 and 96210.
LCM(96192,96210) = 26 × 32 × 1671 × 51 × 10691
LCM(96192,96210) = 514146240
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