What is the Least Common Multiple of 41283 and 41290?
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 41283 and 41290 is 1704575070.
LCM(41283,41290) = 1704575070
Least Common Multiple of 41283 and 41290 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41283 and 41290, than apply into the LCM equation.
GCF(41283,41290) = 1
LCM(41283,41290) = ( 41283 × 41290) / 1
LCM(41283,41290) = 1704575070 / 1
LCM(41283,41290) = 1704575070
Least Common Multiple (LCM) of 41283 and 41290 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41283 and 41290. First we will calculate the prime factors of 41283 and 41290.
Prime Factorization of 41283
Prime factors of 41283 are 3, 11, 139. Prime factorization of 41283 in exponential form is:
41283 = 33 × 111 × 1391
Prime Factorization of 41290
Prime factors of 41290 are 2, 5, 4129. Prime factorization of 41290 in exponential form is:
41290 = 21 × 51 × 41291
Now multiplying the highest exponent prime factors to calculate the LCM of 41283 and 41290.
LCM(41283,41290) = 33 × 111 × 1391 × 21 × 51 × 41291
LCM(41283,41290) = 1704575070
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