What is the Least Common Multiple of 89792 and 89808?
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 89792 and 89808 is 504002496.
LCM(89792,89808) = 504002496
Least Common Multiple of 89792 and 89808 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89792 and 89808, than apply into the LCM equation.
GCF(89792,89808) = 16
LCM(89792,89808) = ( 89792 × 89808) / 16
LCM(89792,89808) = 8064039936 / 16
LCM(89792,89808) = 504002496
Least Common Multiple (LCM) of 89792 and 89808 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 89792 and 89808. First we will calculate the prime factors of 89792 and 89808.
Prime Factorization of 89792
Prime factors of 89792 are 2, 23, 61. Prime factorization of 89792 in exponential form is:
89792 = 26 × 231 × 611
Prime Factorization of 89808
Prime factors of 89808 are 2, 3, 1871. Prime factorization of 89808 in exponential form is:
89808 = 24 × 31 × 18711
Now multiplying the highest exponent prime factors to calculate the LCM of 89792 and 89808.
LCM(89792,89808) = 26 × 231 × 611 × 31 × 18711
LCM(89792,89808) = 504002496
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