What is the Least Common Multiple of 66286 and 66291?
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 66286 and 66291 is 4394165226.
LCM(66286,66291) = 4394165226
Least Common Multiple of 66286 and 66291 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66286 and 66291, than apply into the LCM equation.
GCF(66286,66291) = 1
LCM(66286,66291) = ( 66286 × 66291) / 1
LCM(66286,66291) = 4394165226 / 1
LCM(66286,66291) = 4394165226
Least Common Multiple (LCM) of 66286 and 66291 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66286 and 66291. First we will calculate the prime factors of 66286 and 66291.
Prime Factorization of 66286
Prime factors of 66286 are 2, 11, 23, 131. Prime factorization of 66286 in exponential form is:
66286 = 21 × 111 × 231 × 1311
Prime Factorization of 66291
Prime factors of 66291 are 3, 19, 1163. Prime factorization of 66291 in exponential form is:
66291 = 31 × 191 × 11631
Now multiplying the highest exponent prime factors to calculate the LCM of 66286 and 66291.
LCM(66286,66291) = 21 × 111 × 231 × 1311 × 31 × 191 × 11631
LCM(66286,66291) = 4394165226
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