What is the Least Common Multiple of 93467 and 93486?
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 93467 and 93486 is 8737855962.
LCM(93467,93486) = 8737855962
Least Common Multiple of 93467 and 93486 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93467 and 93486, than apply into the LCM equation.
GCF(93467,93486) = 1
LCM(93467,93486) = ( 93467 × 93486) / 1
LCM(93467,93486) = 8737855962 / 1
LCM(93467,93486) = 8737855962
Least Common Multiple (LCM) of 93467 and 93486 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93467 and 93486. First we will calculate the prime factors of 93467 and 93486.
Prime Factorization of 93467
Prime factors of 93467 are 11, 29, 293. Prime factorization of 93467 in exponential form is:
93467 = 111 × 291 × 2931
Prime Factorization of 93486
Prime factors of 93486 are 2, 3, 15581. Prime factorization of 93486 in exponential form is:
93486 = 21 × 31 × 155811
Now multiplying the highest exponent prime factors to calculate the LCM of 93467 and 93486.
LCM(93467,93486) = 111 × 291 × 2931 × 21 × 31 × 155811
LCM(93467,93486) = 8737855962
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