What is the Least Common Multiple of 66638 and 66657?
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 66638 and 66657 is 4441889166.
LCM(66638,66657) = 4441889166
Least Common Multiple of 66638 and 66657 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66638 and 66657, than apply into the LCM equation.
GCF(66638,66657) = 1
LCM(66638,66657) = ( 66638 × 66657) / 1
LCM(66638,66657) = 4441889166 / 1
LCM(66638,66657) = 4441889166
Least Common Multiple (LCM) of 66638 and 66657 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66638 and 66657. First we will calculate the prime factors of 66638 and 66657.
Prime Factorization of 66638
Prime factors of 66638 are 2, 11, 13, 233. Prime factorization of 66638 in exponential form is:
66638 = 21 × 111 × 131 × 2331
Prime Factorization of 66657
Prime factors of 66657 are 3, 17, 1307. Prime factorization of 66657 in exponential form is:
66657 = 31 × 171 × 13071
Now multiplying the highest exponent prime factors to calculate the LCM of 66638 and 66657.
LCM(66638,66657) = 21 × 111 × 131 × 2331 × 31 × 171 × 13071
LCM(66638,66657) = 4441889166
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