What is the Least Common Multiple of 93500 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 93500 and 93518 is 4371966500.
LCM(93500,93518) = 4371966500
Least Common Multiple of 93500 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 93500 and 93518, than apply into the LCM equation.
GCF(93500,93518) = 2
LCM(93500,93518) = ( 93500 × 93518) / 2
LCM(93500,93518) = 8743933000 / 2
LCM(93500,93518) = 4371966500
Least Common Multiple (LCM) of 93500 and 93518 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93500 and 93518. First we will calculate the prime factors of 93500 and 93518.
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
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 93500 and 93518.
LCM(93500,93518) = 22 × 53 × 111 × 171 × 191 × 231 × 1071
LCM(93500,93518) = 4371966500
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