What is the Least Common Multiple of 94605 and 94609?
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 94605 and 94609 is 8950484445.
LCM(94605,94609) = 8950484445
Least Common Multiple of 94605 and 94609 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94605 and 94609, than apply into the LCM equation.
GCF(94605,94609) = 1
LCM(94605,94609) = ( 94605 × 94609) / 1
LCM(94605,94609) = 8950484445 / 1
LCM(94605,94609) = 8950484445
Least Common Multiple (LCM) of 94605 and 94609 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94605 and 94609. First we will calculate the prime factors of 94605 and 94609.
Prime Factorization of 94605
Prime factors of 94605 are 3, 5, 7, 17, 53. Prime factorization of 94605 in exponential form is:
94605 = 31 × 51 × 71 × 171 × 531
Prime Factorization of 94609
Prime factors of 94609 are 37, 2557. Prime factorization of 94609 in exponential form is:
94609 = 371 × 25571
Now multiplying the highest exponent prime factors to calculate the LCM of 94605 and 94609.
LCM(94605,94609) = 31 × 51 × 71 × 171 × 531 × 371 × 25571
LCM(94605,94609) = 8950484445
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