What is the Least Common Multiple of 93682 and 93693?
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 93682 and 93693 is 8777347626.
LCM(93682,93693) = 8777347626
Least Common Multiple of 93682 and 93693 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93682 and 93693, than apply into the LCM equation.
GCF(93682,93693) = 1
LCM(93682,93693) = ( 93682 × 93693) / 1
LCM(93682,93693) = 8777347626 / 1
LCM(93682,93693) = 8777347626
Least Common Multiple (LCM) of 93682 and 93693 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93682 and 93693. First we will calculate the prime factors of 93682 and 93693.
Prime Factorization of 93682
Prime factors of 93682 are 2, 31, 1511. Prime factorization of 93682 in exponential form is:
93682 = 21 × 311 × 15111
Prime Factorization of 93693
Prime factors of 93693 are 3, 31231. Prime factorization of 93693 in exponential form is:
93693 = 31 × 312311
Now multiplying the highest exponent prime factors to calculate the LCM of 93682 and 93693.
LCM(93682,93693) = 21 × 311 × 15111 × 31 × 312311
LCM(93682,93693) = 8777347626
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