What is the Least Common Multiple of 96804 and 96810?
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 96804 and 96810 is 1561932540.
LCM(96804,96810) = 1561932540
Least Common Multiple of 96804 and 96810 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96804 and 96810, than apply into the LCM equation.
GCF(96804,96810) = 6
LCM(96804,96810) = ( 96804 × 96810) / 6
LCM(96804,96810) = 9371595240 / 6
LCM(96804,96810) = 1561932540
Least Common Multiple (LCM) of 96804 and 96810 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96804 and 96810. First we will calculate the prime factors of 96804 and 96810.
Prime Factorization of 96804
Prime factors of 96804 are 2, 3, 2689. Prime factorization of 96804 in exponential form is:
96804 = 22 × 32 × 26891
Prime Factorization of 96810
Prime factors of 96810 are 2, 3, 5, 7, 461. Prime factorization of 96810 in exponential form is:
96810 = 21 × 31 × 51 × 71 × 4611
Now multiplying the highest exponent prime factors to calculate the LCM of 96804 and 96810.
LCM(96804,96810) = 22 × 32 × 26891 × 51 × 71 × 4611
LCM(96804,96810) = 1561932540
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