What is the Least Common Multiple of 41466 and 41473?
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 41466 and 41473 is 1719719418.
LCM(41466,41473) = 1719719418
Least Common Multiple of 41466 and 41473 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41466 and 41473, than apply into the LCM equation.
GCF(41466,41473) = 1
LCM(41466,41473) = ( 41466 × 41473) / 1
LCM(41466,41473) = 1719719418 / 1
LCM(41466,41473) = 1719719418
Least Common Multiple (LCM) of 41466 and 41473 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41466 and 41473. First we will calculate the prime factors of 41466 and 41473.
Prime Factorization of 41466
Prime factors of 41466 are 2, 3, 6911. Prime factorization of 41466 in exponential form is:
41466 = 21 × 31 × 69111
Prime Factorization of 41473
Prime factors of 41473 are 67, 619. Prime factorization of 41473 in exponential form is:
41473 = 671 × 6191
Now multiplying the highest exponent prime factors to calculate the LCM of 41466 and 41473.
LCM(41466,41473) = 21 × 31 × 69111 × 671 × 6191
LCM(41466,41473) = 1719719418
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