What is the Least Common Multiple of 58781 and 58787?
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 58781 and 58787 is 3455558647.
LCM(58781,58787) = 3455558647
Least Common Multiple of 58781 and 58787 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58781 and 58787, than apply into the LCM equation.
GCF(58781,58787) = 1
LCM(58781,58787) = ( 58781 × 58787) / 1
LCM(58781,58787) = 3455558647 / 1
LCM(58781,58787) = 3455558647
Least Common Multiple (LCM) of 58781 and 58787 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 58781 and 58787. First we will calculate the prime factors of 58781 and 58787.
Prime Factorization of 58781
Prime factors of 58781 are 43, 1367. Prime factorization of 58781 in exponential form is:
58781 = 431 × 13671
Prime Factorization of 58787
Prime factors of 58787 are 58787. Prime factorization of 58787 in exponential form is:
58787 = 587871
Now multiplying the highest exponent prime factors to calculate the LCM of 58781 and 58787.
LCM(58781,58787) = 431 × 13671 × 587871
LCM(58781,58787) = 3455558647
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