What is the Least Common Multiple of 94473 and 94486?
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 94473 and 94486 is 8926375878.
LCM(94473,94486) = 8926375878
Least Common Multiple of 94473 and 94486 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94473 and 94486, than apply into the LCM equation.
GCF(94473,94486) = 1
LCM(94473,94486) = ( 94473 × 94486) / 1
LCM(94473,94486) = 8926375878 / 1
LCM(94473,94486) = 8926375878
Least Common Multiple (LCM) of 94473 and 94486 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94473 and 94486. First we will calculate the prime factors of 94473 and 94486.
Prime Factorization of 94473
Prime factors of 94473 are 3, 3499. Prime factorization of 94473 in exponential form is:
94473 = 33 × 34991
Prime Factorization of 94486
Prime factors of 94486 are 2, 7, 17, 397. Prime factorization of 94486 in exponential form is:
94486 = 21 × 71 × 171 × 3971
Now multiplying the highest exponent prime factors to calculate the LCM of 94473 and 94486.
LCM(94473,94486) = 33 × 34991 × 21 × 71 × 171 × 3971
LCM(94473,94486) = 8926375878
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