What is the Least Common Multiple of 66226 and 66231?
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 66226 and 66231 is 4386214206.
LCM(66226,66231) = 4386214206
Least Common Multiple of 66226 and 66231 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66226 and 66231, than apply into the LCM equation.
GCF(66226,66231) = 1
LCM(66226,66231) = ( 66226 × 66231) / 1
LCM(66226,66231) = 4386214206 / 1
LCM(66226,66231) = 4386214206
Least Common Multiple (LCM) of 66226 and 66231 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66226 and 66231. First we will calculate the prime factors of 66226 and 66231.
Prime Factorization of 66226
Prime factors of 66226 are 2, 33113. Prime factorization of 66226 in exponential form is:
66226 = 21 × 331131
Prime Factorization of 66231
Prime factors of 66231 are 3, 11, 223. Prime factorization of 66231 in exponential form is:
66231 = 33 × 111 × 2231
Now multiplying the highest exponent prime factors to calculate the LCM of 66226 and 66231.
LCM(66226,66231) = 21 × 331131 × 33 × 111 × 2231
LCM(66226,66231) = 4386214206
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