What is the Least Common Multiple of 26087 and 26095?
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 26087 and 26095 is 680740265.
LCM(26087,26095) = 680740265
Least Common Multiple of 26087 and 26095 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26087 and 26095, than apply into the LCM equation.
GCF(26087,26095) = 1
LCM(26087,26095) = ( 26087 × 26095) / 1
LCM(26087,26095) = 680740265 / 1
LCM(26087,26095) = 680740265
Least Common Multiple (LCM) of 26087 and 26095 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26087 and 26095. First we will calculate the prime factors of 26087 and 26095.
Prime Factorization of 26087
Prime factors of 26087 are 19, 1373. Prime factorization of 26087 in exponential form is:
26087 = 191 × 13731
Prime Factorization of 26095
Prime factors of 26095 are 5, 17, 307. Prime factorization of 26095 in exponential form is:
26095 = 51 × 171 × 3071
Now multiplying the highest exponent prime factors to calculate the LCM of 26087 and 26095.
LCM(26087,26095) = 191 × 13731 × 51 × 171 × 3071
LCM(26087,26095) = 680740265
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