What is the Least Common Multiple of 41422 and 41437?
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 41422 and 41437 is 1716403414.
LCM(41422,41437) = 1716403414
Least Common Multiple of 41422 and 41437 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41422 and 41437, than apply into the LCM equation.
GCF(41422,41437) = 1
LCM(41422,41437) = ( 41422 × 41437) / 1
LCM(41422,41437) = 1716403414 / 1
LCM(41422,41437) = 1716403414
Least Common Multiple (LCM) of 41422 and 41437 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41422 and 41437. First we will calculate the prime factors of 41422 and 41437.
Prime Factorization of 41422
Prime factors of 41422 are 2, 139, 149. Prime factorization of 41422 in exponential form is:
41422 = 21 × 1391 × 1491
Prime Factorization of 41437
Prime factors of 41437 are 11, 3767. Prime factorization of 41437 in exponential form is:
41437 = 111 × 37671
Now multiplying the highest exponent prime factors to calculate the LCM of 41422 and 41437.
LCM(41422,41437) = 21 × 1391 × 1491 × 111 × 37671
LCM(41422,41437) = 1716403414
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