What is the Least Common Multiple of 32836 and 32855?
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 32836 and 32855 is 1078826780.
LCM(32836,32855) = 1078826780
Least Common Multiple of 32836 and 32855 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32836 and 32855, than apply into the LCM equation.
GCF(32836,32855) = 1
LCM(32836,32855) = ( 32836 × 32855) / 1
LCM(32836,32855) = 1078826780 / 1
LCM(32836,32855) = 1078826780
Least Common Multiple (LCM) of 32836 and 32855 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 32836 and 32855. First we will calculate the prime factors of 32836 and 32855.
Prime Factorization of 32836
Prime factors of 32836 are 2, 8209. Prime factorization of 32836 in exponential form is:
32836 = 22 × 82091
Prime Factorization of 32855
Prime factors of 32855 are 5, 6571. Prime factorization of 32855 in exponential form is:
32855 = 51 × 65711
Now multiplying the highest exponent prime factors to calculate the LCM of 32836 and 32855.
LCM(32836,32855) = 22 × 82091 × 51 × 65711
LCM(32836,32855) = 1078826780
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