What is the Least Common Multiple of 93358 and 93367?
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 93358 and 93367 is 8716556386.
LCM(93358,93367) = 8716556386
Least Common Multiple of 93358 and 93367 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93358 and 93367, than apply into the LCM equation.
GCF(93358,93367) = 1
LCM(93358,93367) = ( 93358 × 93367) / 1
LCM(93358,93367) = 8716556386 / 1
LCM(93358,93367) = 8716556386
Least Common Multiple (LCM) of 93358 and 93367 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93358 and 93367. First we will calculate the prime factors of 93358 and 93367.
Prime Factorization of 93358
Prime factors of 93358 are 2, 46679. Prime factorization of 93358 in exponential form is:
93358 = 21 × 466791
Prime Factorization of 93367
Prime factors of 93367 are 73, 1279. Prime factorization of 93367 in exponential form is:
93367 = 731 × 12791
Now multiplying the highest exponent prime factors to calculate the LCM of 93358 and 93367.
LCM(93358,93367) = 21 × 466791 × 731 × 12791
LCM(93358,93367) = 8716556386
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