What is the Least Common Multiple of 93542 and 93558?
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 93542 and 93558 is 4375801218.
LCM(93542,93558) = 4375801218
Least Common Multiple of 93542 and 93558 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93542 and 93558, than apply into the LCM equation.
GCF(93542,93558) = 2
LCM(93542,93558) = ( 93542 × 93558) / 2
LCM(93542,93558) = 8751602436 / 2
LCM(93542,93558) = 4375801218
Least Common Multiple (LCM) of 93542 and 93558 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93542 and 93558. First we will calculate the prime factors of 93542 and 93558.
Prime Factorization of 93542
Prime factors of 93542 are 2, 46771. Prime factorization of 93542 in exponential form is:
93542 = 21 × 467711
Prime Factorization of 93558
Prime factors of 93558 are 2, 3, 31, 503. Prime factorization of 93558 in exponential form is:
93558 = 21 × 31 × 311 × 5031
Now multiplying the highest exponent prime factors to calculate the LCM of 93542 and 93558.
LCM(93542,93558) = 21 × 467711 × 31 × 311 × 5031
LCM(93542,93558) = 4375801218
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