What is the Least Common Multiple of 4262 and 4281?
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 4262 and 4281 is 18245622.
LCM(4262,4281) = 18245622
Least Common Multiple of 4262 and 4281 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4262 and 4281, than apply into the LCM equation.
GCF(4262,4281) = 1
LCM(4262,4281) = ( 4262 × 4281) / 1
LCM(4262,4281) = 18245622 / 1
LCM(4262,4281) = 18245622
Least Common Multiple (LCM) of 4262 and 4281 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4262 and 4281. First we will calculate the prime factors of 4262 and 4281.
Prime Factorization of 4262
Prime factors of 4262 are 2, 2131. Prime factorization of 4262 in exponential form is:
4262 = 21 × 21311
Prime Factorization of 4281
Prime factors of 4281 are 3, 1427. Prime factorization of 4281 in exponential form is:
4281 = 31 × 14271
Now multiplying the highest exponent prime factors to calculate the LCM of 4262 and 4281.
LCM(4262,4281) = 21 × 21311 × 31 × 14271
LCM(4262,4281) = 18245622
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