What is the Least Common Multiple of 25151 and 25155?
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 25151 and 25155 is 632673405.
LCM(25151,25155) = 632673405
Least Common Multiple of 25151 and 25155 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25151 and 25155, than apply into the LCM equation.
GCF(25151,25155) = 1
LCM(25151,25155) = ( 25151 × 25155) / 1
LCM(25151,25155) = 632673405 / 1
LCM(25151,25155) = 632673405
Least Common Multiple (LCM) of 25151 and 25155 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25151 and 25155. First we will calculate the prime factors of 25151 and 25155.
Prime Factorization of 25151
Prime factors of 25151 are 7, 3593. Prime factorization of 25151 in exponential form is:
25151 = 71 × 35931
Prime Factorization of 25155
Prime factors of 25155 are 3, 5, 13, 43. Prime factorization of 25155 in exponential form is:
25155 = 32 × 51 × 131 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 25151 and 25155.
LCM(25151,25155) = 71 × 35931 × 32 × 51 × 131 × 431
LCM(25151,25155) = 632673405
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