What is the Least Common Multiple of 41841 and 41852?
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 41841 and 41852 is 1751129532.
LCM(41841,41852) = 1751129532
Least Common Multiple of 41841 and 41852 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41841 and 41852, than apply into the LCM equation.
GCF(41841,41852) = 1
LCM(41841,41852) = ( 41841 × 41852) / 1
LCM(41841,41852) = 1751129532 / 1
LCM(41841,41852) = 1751129532
Least Common Multiple (LCM) of 41841 and 41852 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41841 and 41852. First we will calculate the prime factors of 41841 and 41852.
Prime Factorization of 41841
Prime factors of 41841 are 3, 4649. Prime factorization of 41841 in exponential form is:
41841 = 32 × 46491
Prime Factorization of 41852
Prime factors of 41852 are 2, 10463. Prime factorization of 41852 in exponential form is:
41852 = 22 × 104631
Now multiplying the highest exponent prime factors to calculate the LCM of 41841 and 41852.
LCM(41841,41852) = 32 × 46491 × 22 × 104631
LCM(41841,41852) = 1751129532
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