What is the Least Common Multiple of 66651 and 66661?
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 66651 and 66661 is 4443022311.
LCM(66651,66661) = 4443022311
Least Common Multiple of 66651 and 66661 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66651 and 66661, than apply into the LCM equation.
GCF(66651,66661) = 1
LCM(66651,66661) = ( 66651 × 66661) / 1
LCM(66651,66661) = 4443022311 / 1
LCM(66651,66661) = 4443022311
Least Common Multiple (LCM) of 66651 and 66661 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66651 and 66661. First we will calculate the prime factors of 66651 and 66661.
Prime Factorization of 66651
Prime factors of 66651 are 3, 13, 1709. Prime factorization of 66651 in exponential form is:
66651 = 31 × 131 × 17091
Prime Factorization of 66661
Prime factors of 66661 are 7, 89, 107. Prime factorization of 66661 in exponential form is:
66661 = 71 × 891 × 1071
Now multiplying the highest exponent prime factors to calculate the LCM of 66651 and 66661.
LCM(66651,66661) = 31 × 131 × 17091 × 71 × 891 × 1071
LCM(66651,66661) = 4443022311
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