What is the Least Common Multiple of 94358 and 94367?
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 94358 and 94367 is 8904281386.
LCM(94358,94367) = 8904281386
Least Common Multiple of 94358 and 94367 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94358 and 94367, than apply into the LCM equation.
GCF(94358,94367) = 1
LCM(94358,94367) = ( 94358 × 94367) / 1
LCM(94358,94367) = 8904281386 / 1
LCM(94358,94367) = 8904281386
Least Common Multiple (LCM) of 94358 and 94367 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94358 and 94367. First we will calculate the prime factors of 94358 and 94367.
Prime Factorization of 94358
Prime factors of 94358 are 2, 11, 4289. Prime factorization of 94358 in exponential form is:
94358 = 21 × 111 × 42891
Prime Factorization of 94367
Prime factors of 94367 are 7, 13, 17, 61. Prime factorization of 94367 in exponential form is:
94367 = 71 × 131 × 171 × 611
Now multiplying the highest exponent prime factors to calculate the LCM of 94358 and 94367.
LCM(94358,94367) = 21 × 111 × 42891 × 71 × 131 × 171 × 611
LCM(94358,94367) = 8904281386
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