What is the Least Common Multiple of 25087 and 25091?
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 25087 and 25091 is 629457917.
LCM(25087,25091) = 629457917
Least Common Multiple of 25087 and 25091 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25087 and 25091, than apply into the LCM equation.
GCF(25087,25091) = 1
LCM(25087,25091) = ( 25087 × 25091) / 1
LCM(25087,25091) = 629457917 / 1
LCM(25087,25091) = 629457917
Least Common Multiple (LCM) of 25087 and 25091 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25087 and 25091. First we will calculate the prime factors of 25087 and 25091.
Prime Factorization of 25087
Prime factors of 25087 are 25087. Prime factorization of 25087 in exponential form is:
25087 = 250871
Prime Factorization of 25091
Prime factors of 25091 are 11, 2281. Prime factorization of 25091 in exponential form is:
25091 = 111 × 22811
Now multiplying the highest exponent prime factors to calculate the LCM of 25087 and 25091.
LCM(25087,25091) = 250871 × 111 × 22811
LCM(25087,25091) = 629457917
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