What is the Least Common Multiple of 94218 and 94223?
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 94218 and 94223 is 8877502614.
LCM(94218,94223) = 8877502614
Least Common Multiple of 94218 and 94223 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94218 and 94223, than apply into the LCM equation.
GCF(94218,94223) = 1
LCM(94218,94223) = ( 94218 × 94223) / 1
LCM(94218,94223) = 8877502614 / 1
LCM(94218,94223) = 8877502614
Least Common Multiple (LCM) of 94218 and 94223 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94218 and 94223. First we will calculate the prime factors of 94218 and 94223.
Prime Factorization of 94218
Prime factors of 94218 are 2, 3, 41, 383. Prime factorization of 94218 in exponential form is:
94218 = 21 × 31 × 411 × 3831
Prime Factorization of 94223
Prime factors of 94223 are 59, 1597. Prime factorization of 94223 in exponential form is:
94223 = 591 × 15971
Now multiplying the highest exponent prime factors to calculate the LCM of 94218 and 94223.
LCM(94218,94223) = 21 × 31 × 411 × 3831 × 591 × 15971
LCM(94218,94223) = 8877502614
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