What is the Least Common Multiple of 93427 and 93436?
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 93427 and 93436 is 8729445172.
LCM(93427,93436) = 8729445172
Least Common Multiple of 93427 and 93436 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93427 and 93436, than apply into the LCM equation.
GCF(93427,93436) = 1
LCM(93427,93436) = ( 93427 × 93436) / 1
LCM(93427,93436) = 8729445172 / 1
LCM(93427,93436) = 8729445172
Least Common Multiple (LCM) of 93427 and 93436 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93427 and 93436. First we will calculate the prime factors of 93427 and 93436.
Prime Factorization of 93427
Prime factors of 93427 are 93427. Prime factorization of 93427 in exponential form is:
93427 = 934271
Prime Factorization of 93436
Prime factors of 93436 are 2, 7, 47, 71. Prime factorization of 93436 in exponential form is:
93436 = 22 × 71 × 471 × 711
Now multiplying the highest exponent prime factors to calculate the LCM of 93427 and 93436.
LCM(93427,93436) = 934271 × 22 × 71 × 471 × 711
LCM(93427,93436) = 8729445172
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