What is the Least Common Multiple of 26150 and 26155?
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 26150 and 26155 is 136790650.
LCM(26150,26155) = 136790650
Least Common Multiple of 26150 and 26155 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26150 and 26155, than apply into the LCM equation.
GCF(26150,26155) = 5
LCM(26150,26155) = ( 26150 × 26155) / 5
LCM(26150,26155) = 683953250 / 5
LCM(26150,26155) = 136790650
Least Common Multiple (LCM) of 26150 and 26155 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26150 and 26155. First we will calculate the prime factors of 26150 and 26155.
Prime Factorization of 26150
Prime factors of 26150 are 2, 5, 523. Prime factorization of 26150 in exponential form is:
26150 = 21 × 52 × 5231
Prime Factorization of 26155
Prime factors of 26155 are 5, 5231. Prime factorization of 26155 in exponential form is:
26155 = 51 × 52311
Now multiplying the highest exponent prime factors to calculate the LCM of 26150 and 26155.
LCM(26150,26155) = 21 × 52 × 5231 × 52311
LCM(26150,26155) = 136790650
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