What is the Least Common Multiple of 59831 and 59841?
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 59831 and 59841 is 3580346871.
LCM(59831,59841) = 3580346871
Least Common Multiple of 59831 and 59841 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59831 and 59841, than apply into the LCM equation.
GCF(59831,59841) = 1
LCM(59831,59841) = ( 59831 × 59841) / 1
LCM(59831,59841) = 3580346871 / 1
LCM(59831,59841) = 3580346871
Least Common Multiple (LCM) of 59831 and 59841 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 59831 and 59841. First we will calculate the prime factors of 59831 and 59841.
Prime Factorization of 59831
Prime factors of 59831 are 19, 47, 67. Prime factorization of 59831 in exponential form is:
59831 = 191 × 471 × 671
Prime Factorization of 59841
Prime factors of 59841 are 3, 61, 109. Prime factorization of 59841 in exponential form is:
59841 = 32 × 611 × 1091
Now multiplying the highest exponent prime factors to calculate the LCM of 59831 and 59841.
LCM(59831,59841) = 191 × 471 × 671 × 32 × 611 × 1091
LCM(59831,59841) = 3580346871
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