What is the Least Common Multiple of 66146 and 66150?
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 66146 and 66150 is 2187778950.
LCM(66146,66150) = 2187778950
Least Common Multiple of 66146 and 66150 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66146 and 66150, than apply into the LCM equation.
GCF(66146,66150) = 2
LCM(66146,66150) = ( 66146 × 66150) / 2
LCM(66146,66150) = 4375557900 / 2
LCM(66146,66150) = 2187778950
Least Common Multiple (LCM) of 66146 and 66150 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66146 and 66150. First we will calculate the prime factors of 66146 and 66150.
Prime Factorization of 66146
Prime factors of 66146 are 2, 33073. Prime factorization of 66146 in exponential form is:
66146 = 21 × 330731
Prime Factorization of 66150
Prime factors of 66150 are 2, 3, 5, 7. Prime factorization of 66150 in exponential form is:
66150 = 21 × 33 × 52 × 72
Now multiplying the highest exponent prime factors to calculate the LCM of 66146 and 66150.
LCM(66146,66150) = 21 × 330731 × 33 × 52 × 72
LCM(66146,66150) = 2187778950
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