What is the Least Common Multiple of 93496 and 93500?
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 93496 and 93500 is 2185469000.
LCM(93496,93500) = 2185469000
Least Common Multiple of 93496 and 93500 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93496 and 93500, than apply into the LCM equation.
GCF(93496,93500) = 4
LCM(93496,93500) = ( 93496 × 93500) / 4
LCM(93496,93500) = 8741876000 / 4
LCM(93496,93500) = 2185469000
Least Common Multiple (LCM) of 93496 and 93500 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93496 and 93500. First we will calculate the prime factors of 93496 and 93500.
Prime Factorization of 93496
Prime factors of 93496 are 2, 13, 29, 31. Prime factorization of 93496 in exponential form is:
93496 = 23 × 131 × 291 × 311
Prime Factorization of 93500
Prime factors of 93500 are 2, 5, 11, 17. Prime factorization of 93500 in exponential form is:
93500 = 22 × 53 × 111 × 171
Now multiplying the highest exponent prime factors to calculate the LCM of 93496 and 93500.
LCM(93496,93500) = 23 × 131 × 291 × 311 × 53 × 111 × 171
LCM(93496,93500) = 2185469000
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