What is the Least Common Multiple of 25153 and 25162?
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 25153 and 25162 is 632899786.
LCM(25153,25162) = 632899786
Least Common Multiple of 25153 and 25162 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25153 and 25162, than apply into the LCM equation.
GCF(25153,25162) = 1
LCM(25153,25162) = ( 25153 × 25162) / 1
LCM(25153,25162) = 632899786 / 1
LCM(25153,25162) = 632899786
Least Common Multiple (LCM) of 25153 and 25162 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25153 and 25162. First we will calculate the prime factors of 25153 and 25162.
Prime Factorization of 25153
Prime factors of 25153 are 25153. Prime factorization of 25153 in exponential form is:
25153 = 251531
Prime Factorization of 25162
Prime factors of 25162 are 2, 23, 547. Prime factorization of 25162 in exponential form is:
25162 = 21 × 231 × 5471
Now multiplying the highest exponent prime factors to calculate the LCM of 25153 and 25162.
LCM(25153,25162) = 251531 × 21 × 231 × 5471
LCM(25153,25162) = 632899786
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