What is the Least Common Multiple of 66966 and 66975?
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 66966 and 66975 is 1495015950.
LCM(66966,66975) = 1495015950
Least Common Multiple of 66966 and 66975 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66966 and 66975, than apply into the LCM equation.
GCF(66966,66975) = 3
LCM(66966,66975) = ( 66966 × 66975) / 3
LCM(66966,66975) = 4485047850 / 3
LCM(66966,66975) = 1495015950
Least Common Multiple (LCM) of 66966 and 66975 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66966 and 66975. First we will calculate the prime factors of 66966 and 66975.
Prime Factorization of 66966
Prime factors of 66966 are 2, 3, 11161. Prime factorization of 66966 in exponential form is:
66966 = 21 × 31 × 111611
Prime Factorization of 66975
Prime factors of 66975 are 3, 5, 19, 47. Prime factorization of 66975 in exponential form is:
66975 = 31 × 52 × 191 × 471
Now multiplying the highest exponent prime factors to calculate the LCM of 66966 and 66975.
LCM(66966,66975) = 21 × 31 × 111611 × 52 × 191 × 471
LCM(66966,66975) = 1495015950
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