What is the Least Common Multiple of 93255 and 93260?
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 93255 and 93260 is 1739392260.
LCM(93255,93260) = 1739392260
Least Common Multiple of 93255 and 93260 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93255 and 93260, than apply into the LCM equation.
GCF(93255,93260) = 5
LCM(93255,93260) = ( 93255 × 93260) / 5
LCM(93255,93260) = 8696961300 / 5
LCM(93255,93260) = 1739392260
Least Common Multiple (LCM) of 93255 and 93260 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93255 and 93260. First we will calculate the prime factors of 93255 and 93260.
Prime Factorization of 93255
Prime factors of 93255 are 3, 5, 6217. Prime factorization of 93255 in exponential form is:
93255 = 31 × 51 × 62171
Prime Factorization of 93260
Prime factors of 93260 are 2, 5, 4663. Prime factorization of 93260 in exponential form is:
93260 = 22 × 51 × 46631
Now multiplying the highest exponent prime factors to calculate the LCM of 93255 and 93260.
LCM(93255,93260) = 31 × 51 × 62171 × 22 × 46631
LCM(93255,93260) = 1739392260
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