What is the Least Common Multiple of 41457 and 41467?
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 41457 and 41467 is 1719097419.
LCM(41457,41467) = 1719097419
Least Common Multiple of 41457 and 41467 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41457 and 41467, than apply into the LCM equation.
GCF(41457,41467) = 1
LCM(41457,41467) = ( 41457 × 41467) / 1
LCM(41457,41467) = 1719097419 / 1
LCM(41457,41467) = 1719097419
Least Common Multiple (LCM) of 41457 and 41467 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41457 and 41467. First we will calculate the prime factors of 41457 and 41467.
Prime Factorization of 41457
Prime factors of 41457 are 3, 13, 1063. Prime factorization of 41457 in exponential form is:
41457 = 31 × 131 × 10631
Prime Factorization of 41467
Prime factors of 41467 are 41467. Prime factorization of 41467 in exponential form is:
41467 = 414671
Now multiplying the highest exponent prime factors to calculate the LCM of 41457 and 41467.
LCM(41457,41467) = 31 × 131 × 10631 × 414671
LCM(41457,41467) = 1719097419
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