What is the Least Common Multiple of 58982 and 59002?
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 58982 and 59002 is 1740027982.
LCM(58982,59002) = 1740027982
Least Common Multiple of 58982 and 59002 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58982 and 59002, than apply into the LCM equation.
GCF(58982,59002) = 2
LCM(58982,59002) = ( 58982 × 59002) / 2
LCM(58982,59002) = 3480055964 / 2
LCM(58982,59002) = 1740027982
Least Common Multiple (LCM) of 58982 and 59002 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 58982 and 59002. First we will calculate the prime factors of 58982 and 59002.
Prime Factorization of 58982
Prime factors of 58982 are 2, 7, 11, 383. Prime factorization of 58982 in exponential form is:
58982 = 21 × 71 × 111 × 3831
Prime Factorization of 59002
Prime factors of 59002 are 2, 29501. Prime factorization of 59002 in exponential form is:
59002 = 21 × 295011
Now multiplying the highest exponent prime factors to calculate the LCM of 58982 and 59002.
LCM(58982,59002) = 21 × 71 × 111 × 3831 × 295011
LCM(58982,59002) = 1740027982
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