What is the Least Common Multiple of 65222 and 65232?
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 65222 and 65232 is 2127280752.
LCM(65222,65232) = 2127280752
Least Common Multiple of 65222 and 65232 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65222 and 65232, than apply into the LCM equation.
GCF(65222,65232) = 2
LCM(65222,65232) = ( 65222 × 65232) / 2
LCM(65222,65232) = 4254561504 / 2
LCM(65222,65232) = 2127280752
Least Common Multiple (LCM) of 65222 and 65232 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65222 and 65232. First we will calculate the prime factors of 65222 and 65232.
Prime Factorization of 65222
Prime factors of 65222 are 2, 32611. Prime factorization of 65222 in exponential form is:
65222 = 21 × 326111
Prime Factorization of 65232
Prime factors of 65232 are 2, 3, 151. Prime factorization of 65232 in exponential form is:
65232 = 24 × 33 × 1511
Now multiplying the highest exponent prime factors to calculate the LCM of 65222 and 65232.
LCM(65222,65232) = 24 × 326111 × 33 × 1511
LCM(65222,65232) = 2127280752
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