What is the Least Common Multiple of 93275 and 93295?
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 93275 and 93295 is 1740418225.
LCM(93275,93295) = 1740418225
Least Common Multiple of 93275 and 93295 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93275 and 93295, than apply into the LCM equation.
GCF(93275,93295) = 5
LCM(93275,93295) = ( 93275 × 93295) / 5
LCM(93275,93295) = 8702091125 / 5
LCM(93275,93295) = 1740418225
Least Common Multiple (LCM) of 93275 and 93295 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93275 and 93295. First we will calculate the prime factors of 93275 and 93295.
Prime Factorization of 93275
Prime factors of 93275 are 5, 7, 13, 41. Prime factorization of 93275 in exponential form is:
93275 = 52 × 71 × 131 × 411
Prime Factorization of 93295
Prime factors of 93295 are 5, 47, 397. Prime factorization of 93295 in exponential form is:
93295 = 51 × 471 × 3971
Now multiplying the highest exponent prime factors to calculate the LCM of 93275 and 93295.
LCM(93275,93295) = 52 × 71 × 131 × 411 × 471 × 3971
LCM(93275,93295) = 1740418225
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