What is the Least Common Multiple of 66207 and 66226?
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 66207 and 66226 is 4384624782.
LCM(66207,66226) = 4384624782
Least Common Multiple of 66207 and 66226 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66207 and 66226, than apply into the LCM equation.
GCF(66207,66226) = 1
LCM(66207,66226) = ( 66207 × 66226) / 1
LCM(66207,66226) = 4384624782 / 1
LCM(66207,66226) = 4384624782
Least Common Multiple (LCM) of 66207 and 66226 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66207 and 66226. First we will calculate the prime factors of 66207 and 66226.
Prime Factorization of 66207
Prime factors of 66207 are 3, 29, 761. Prime factorization of 66207 in exponential form is:
66207 = 31 × 291 × 7611
Prime Factorization of 66226
Prime factors of 66226 are 2, 33113. Prime factorization of 66226 in exponential form is:
66226 = 21 × 331131
Now multiplying the highest exponent prime factors to calculate the LCM of 66207 and 66226.
LCM(66207,66226) = 31 × 291 × 7611 × 21 × 331131
LCM(66207,66226) = 4384624782
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