What is the Least Common Multiple of 95434 and 95439?
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 95434 and 95439 is 9108125526.
LCM(95434,95439) = 9108125526
Least Common Multiple of 95434 and 95439 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95434 and 95439, than apply into the LCM equation.
GCF(95434,95439) = 1
LCM(95434,95439) = ( 95434 × 95439) / 1
LCM(95434,95439) = 9108125526 / 1
LCM(95434,95439) = 9108125526
Least Common Multiple (LCM) of 95434 and 95439 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95434 and 95439. First we will calculate the prime factors of 95434 and 95439.
Prime Factorization of 95434
Prime factors of 95434 are 2, 47717. Prime factorization of 95434 in exponential form is:
95434 = 21 × 477171
Prime Factorization of 95439
Prime factors of 95439 are 3, 29, 1097. Prime factorization of 95439 in exponential form is:
95439 = 31 × 291 × 10971
Now multiplying the highest exponent prime factors to calculate the LCM of 95434 and 95439.
LCM(95434,95439) = 21 × 477171 × 31 × 291 × 10971
LCM(95434,95439) = 9108125526
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