What is the Least Common Multiple of 66281 and 66285?
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 66281 and 66285 is 4393436085.
LCM(66281,66285) = 4393436085
Least Common Multiple of 66281 and 66285 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66281 and 66285, than apply into the LCM equation.
GCF(66281,66285) = 1
LCM(66281,66285) = ( 66281 × 66285) / 1
LCM(66281,66285) = 4393436085 / 1
LCM(66281,66285) = 4393436085
Least Common Multiple (LCM) of 66281 and 66285 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66281 and 66285. First we will calculate the prime factors of 66281 and 66285.
Prime Factorization of 66281
Prime factors of 66281 are 79, 839. Prime factorization of 66281 in exponential form is:
66281 = 791 × 8391
Prime Factorization of 66285
Prime factors of 66285 are 3, 5, 491. Prime factorization of 66285 in exponential form is:
66285 = 33 × 51 × 4911
Now multiplying the highest exponent prime factors to calculate the LCM of 66281 and 66285.
LCM(66281,66285) = 791 × 8391 × 33 × 51 × 4911
LCM(66281,66285) = 4393436085
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