What is the Least Common Multiple of 41479 and 41487?
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 41479 and 41487 is 1720839273.
LCM(41479,41487) = 1720839273
Least Common Multiple of 41479 and 41487 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41479 and 41487, than apply into the LCM equation.
GCF(41479,41487) = 1
LCM(41479,41487) = ( 41479 × 41487) / 1
LCM(41479,41487) = 1720839273 / 1
LCM(41479,41487) = 1720839273
Least Common Multiple (LCM) of 41479 and 41487 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41479 and 41487. First we will calculate the prime factors of 41479 and 41487.
Prime Factorization of 41479
Prime factors of 41479 are 41479. Prime factorization of 41479 in exponential form is:
41479 = 414791
Prime Factorization of 41487
Prime factors of 41487 are 3, 13829. Prime factorization of 41487 in exponential form is:
41487 = 31 × 138291
Now multiplying the highest exponent prime factors to calculate the LCM of 41479 and 41487.
LCM(41479,41487) = 414791 × 31 × 138291
LCM(41479,41487) = 1720839273
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