What is the Least Common Multiple of 80627 and 80632?
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 80627 and 80632 is 6501116264.
LCM(80627,80632) = 6501116264
Least Common Multiple of 80627 and 80632 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80627 and 80632, than apply into the LCM equation.
GCF(80627,80632) = 1
LCM(80627,80632) = ( 80627 × 80632) / 1
LCM(80627,80632) = 6501116264 / 1
LCM(80627,80632) = 6501116264
Least Common Multiple (LCM) of 80627 and 80632 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80627 and 80632. First we will calculate the prime factors of 80627 and 80632.
Prime Factorization of 80627
Prime factors of 80627 are 80627. Prime factorization of 80627 in exponential form is:
80627 = 806271
Prime Factorization of 80632
Prime factors of 80632 are 2, 10079. Prime factorization of 80632 in exponential form is:
80632 = 23 × 100791
Now multiplying the highest exponent prime factors to calculate the LCM of 80627 and 80632.
LCM(80627,80632) = 806271 × 23 × 100791
LCM(80627,80632) = 6501116264
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