What is the Least Common Multiple of 26125 and 26144?
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 26125 and 26144 is 35948000.
LCM(26125,26144) = 35948000
Least Common Multiple of 26125 and 26144 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26125 and 26144, than apply into the LCM equation.
GCF(26125,26144) = 19
LCM(26125,26144) = ( 26125 × 26144) / 19
LCM(26125,26144) = 683012000 / 19
LCM(26125,26144) = 35948000
Least Common Multiple (LCM) of 26125 and 26144 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26125 and 26144. First we will calculate the prime factors of 26125 and 26144.
Prime Factorization of 26125
Prime factors of 26125 are 5, 11, 19. Prime factorization of 26125 in exponential form is:
26125 = 53 × 111 × 191
Prime Factorization of 26144
Prime factors of 26144 are 2, 19, 43. Prime factorization of 26144 in exponential form is:
26144 = 25 × 191 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 26125 and 26144.
LCM(26125,26144) = 53 × 111 × 191 × 25 × 431
LCM(26125,26144) = 35948000
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