What is the Least Common Multiple of 25106 and 25112?
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 25106 and 25112 is 315230936.
LCM(25106,25112) = 315230936
Least Common Multiple of 25106 and 25112 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25106 and 25112, than apply into the LCM equation.
GCF(25106,25112) = 2
LCM(25106,25112) = ( 25106 × 25112) / 2
LCM(25106,25112) = 630461872 / 2
LCM(25106,25112) = 315230936
Least Common Multiple (LCM) of 25106 and 25112 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25106 and 25112. First we will calculate the prime factors of 25106 and 25112.
Prime Factorization of 25106
Prime factors of 25106 are 2, 12553. Prime factorization of 25106 in exponential form is:
25106 = 21 × 125531
Prime Factorization of 25112
Prime factors of 25112 are 2, 43, 73. Prime factorization of 25112 in exponential form is:
25112 = 23 × 431 × 731
Now multiplying the highest exponent prime factors to calculate the LCM of 25106 and 25112.
LCM(25106,25112) = 23 × 125531 × 431 × 731
LCM(25106,25112) = 315230936
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