What is the Least Common Multiple of 93499 and 93518?
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 93499 and 93518 is 460202078.
LCM(93499,93518) = 460202078
Least Common Multiple of 93499 and 93518 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93499 and 93518, than apply into the LCM equation.
GCF(93499,93518) = 19
LCM(93499,93518) = ( 93499 × 93518) / 19
LCM(93499,93518) = 8743839482 / 19
LCM(93499,93518) = 460202078
Least Common Multiple (LCM) of 93499 and 93518 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93499 and 93518. First we will calculate the prime factors of 93499 and 93518.
Prime Factorization of 93499
Prime factors of 93499 are 7, 19, 37. Prime factorization of 93499 in exponential form is:
93499 = 71 × 192 × 371
Prime Factorization of 93518
Prime factors of 93518 are 2, 19, 23, 107. Prime factorization of 93518 in exponential form is:
93518 = 21 × 191 × 231 × 1071
Now multiplying the highest exponent prime factors to calculate the LCM of 93499 and 93518.
LCM(93499,93518) = 71 × 192 × 371 × 21 × 231 × 1071
LCM(93499,93518) = 460202078
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