What is the Least Common Multiple of 94453 and 94458?
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 94453 and 94458 is 8921841474.
LCM(94453,94458) = 8921841474
Least Common Multiple of 94453 and 94458 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94453 and 94458, than apply into the LCM equation.
GCF(94453,94458) = 1
LCM(94453,94458) = ( 94453 × 94458) / 1
LCM(94453,94458) = 8921841474 / 1
LCM(94453,94458) = 8921841474
Least Common Multiple (LCM) of 94453 and 94458 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94453 and 94458. First we will calculate the prime factors of 94453 and 94458.
Prime Factorization of 94453
Prime factors of 94453 are 29, 3257. Prime factorization of 94453 in exponential form is:
94453 = 291 × 32571
Prime Factorization of 94458
Prime factors of 94458 are 2, 3, 7, 13, 173. Prime factorization of 94458 in exponential form is:
94458 = 21 × 31 × 71 × 131 × 1731
Now multiplying the highest exponent prime factors to calculate the LCM of 94453 and 94458.
LCM(94453,94458) = 291 × 32571 × 21 × 31 × 71 × 131 × 1731
LCM(94453,94458) = 8921841474
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