What is the Least Common Multiple of 66244 and 66261?
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 66244 and 66261 is 4389393684.
LCM(66244,66261) = 4389393684
Least Common Multiple of 66244 and 66261 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66244 and 66261, than apply into the LCM equation.
GCF(66244,66261) = 1
LCM(66244,66261) = ( 66244 × 66261) / 1
LCM(66244,66261) = 4389393684 / 1
LCM(66244,66261) = 4389393684
Least Common Multiple (LCM) of 66244 and 66261 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66244 and 66261. First we will calculate the prime factors of 66244 and 66261.
Prime Factorization of 66244
Prime factors of 66244 are 2, 16561. Prime factorization of 66244 in exponential form is:
66244 = 22 × 165611
Prime Factorization of 66261
Prime factors of 66261 are 3, 13, 1699. Prime factorization of 66261 in exponential form is:
66261 = 31 × 131 × 16991
Now multiplying the highest exponent prime factors to calculate the LCM of 66244 and 66261.
LCM(66244,66261) = 22 × 165611 × 31 × 131 × 16991
LCM(66244,66261) = 4389393684
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