What is the Least Common Multiple of 25005 and 25010?
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 25005 and 25010 is 125075010.
LCM(25005,25010) = 125075010
Least Common Multiple of 25005 and 25010 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25005 and 25010, than apply into the LCM equation.
GCF(25005,25010) = 5
LCM(25005,25010) = ( 25005 × 25010) / 5
LCM(25005,25010) = 625375050 / 5
LCM(25005,25010) = 125075010
Least Common Multiple (LCM) of 25005 and 25010 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25005 and 25010. First we will calculate the prime factors of 25005 and 25010.
Prime Factorization of 25005
Prime factors of 25005 are 3, 5, 1667. Prime factorization of 25005 in exponential form is:
25005 = 31 × 51 × 16671
Prime Factorization of 25010
Prime factors of 25010 are 2, 5, 41, 61. Prime factorization of 25010 in exponential form is:
25010 = 21 × 51 × 411 × 611
Now multiplying the highest exponent prime factors to calculate the LCM of 25005 and 25010.
LCM(25005,25010) = 31 × 51 × 16671 × 21 × 411 × 611
LCM(25005,25010) = 125075010
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