What is the Least Common Multiple of 93668 and 93685?
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 93668 and 93685 is 8775286580.
LCM(93668,93685) = 8775286580
Least Common Multiple of 93668 and 93685 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93668 and 93685, than apply into the LCM equation.
GCF(93668,93685) = 1
LCM(93668,93685) = ( 93668 × 93685) / 1
LCM(93668,93685) = 8775286580 / 1
LCM(93668,93685) = 8775286580
Least Common Multiple (LCM) of 93668 and 93685 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93668 and 93685. First we will calculate the prime factors of 93668 and 93685.
Prime Factorization of 93668
Prime factors of 93668 are 2, 23417. Prime factorization of 93668 in exponential form is:
93668 = 22 × 234171
Prime Factorization of 93685
Prime factors of 93685 are 5, 41, 457. Prime factorization of 93685 in exponential form is:
93685 = 51 × 411 × 4571
Now multiplying the highest exponent prime factors to calculate the LCM of 93668 and 93685.
LCM(93668,93685) = 22 × 234171 × 51 × 411 × 4571
LCM(93668,93685) = 8775286580
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