What is the Least Common Multiple of 58751 and 58762?
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 58751 and 58762 is 313847842.
LCM(58751,58762) = 313847842
Least Common Multiple of 58751 and 58762 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58751 and 58762, than apply into the LCM equation.
GCF(58751,58762) = 11
LCM(58751,58762) = ( 58751 × 58762) / 11
LCM(58751,58762) = 3452326262 / 11
LCM(58751,58762) = 313847842
Least Common Multiple (LCM) of 58751 and 58762 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 58751 and 58762. First we will calculate the prime factors of 58751 and 58762.
Prime Factorization of 58751
Prime factors of 58751 are 7, 11, 109. Prime factorization of 58751 in exponential form is:
58751 = 72 × 111 × 1091
Prime Factorization of 58762
Prime factors of 58762 are 2, 11, 2671. Prime factorization of 58762 in exponential form is:
58762 = 21 × 111 × 26711
Now multiplying the highest exponent prime factors to calculate the LCM of 58751 and 58762.
LCM(58751,58762) = 72 × 111 × 1091 × 21 × 26711
LCM(58751,58762) = 313847842
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