What is the Least Common Multiple of 66661 and 66668?
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 66661 and 66668 is 634879364.
LCM(66661,66668) = 634879364
Least Common Multiple of 66661 and 66668 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66661 and 66668, than apply into the LCM equation.
GCF(66661,66668) = 7
LCM(66661,66668) = ( 66661 × 66668) / 7
LCM(66661,66668) = 4444155548 / 7
LCM(66661,66668) = 634879364
Least Common Multiple (LCM) of 66661 and 66668 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66661 and 66668. First we will calculate the prime factors of 66661 and 66668.
Prime Factorization of 66661
Prime factors of 66661 are 7, 89, 107. Prime factorization of 66661 in exponential form is:
66661 = 71 × 891 × 1071
Prime Factorization of 66668
Prime factors of 66668 are 2, 7, 2381. Prime factorization of 66668 in exponential form is:
66668 = 22 × 71 × 23811
Now multiplying the highest exponent prime factors to calculate the LCM of 66661 and 66668.
LCM(66661,66668) = 71 × 891 × 1071 × 22 × 23811
LCM(66661,66668) = 634879364
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