What is the Least Common Multiple of 66143 and 66151?
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 66143 and 66151 is 4375425593.
LCM(66143,66151) = 4375425593
Least Common Multiple of 66143 and 66151 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66143 and 66151, than apply into the LCM equation.
GCF(66143,66151) = 1
LCM(66143,66151) = ( 66143 × 66151) / 1
LCM(66143,66151) = 4375425593 / 1
LCM(66143,66151) = 4375425593
Least Common Multiple (LCM) of 66143 and 66151 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66143 and 66151. First we will calculate the prime factors of 66143 and 66151.
Prime Factorization of 66143
Prime factors of 66143 are 7, 11, 859. Prime factorization of 66143 in exponential form is:
66143 = 71 × 111 × 8591
Prime Factorization of 66151
Prime factors of 66151 are 83, 797. Prime factorization of 66151 in exponential form is:
66151 = 831 × 7971
Now multiplying the highest exponent prime factors to calculate the LCM of 66143 and 66151.
LCM(66143,66151) = 71 × 111 × 8591 × 831 × 7971
LCM(66143,66151) = 4375425593
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