What is the Least Common Multiple of 26155 and 26160?
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 26155 and 26160 is 136842960.
LCM(26155,26160) = 136842960
Least Common Multiple of 26155 and 26160 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26155 and 26160, than apply into the LCM equation.
GCF(26155,26160) = 5
LCM(26155,26160) = ( 26155 × 26160) / 5
LCM(26155,26160) = 684214800 / 5
LCM(26155,26160) = 136842960
Least Common Multiple (LCM) of 26155 and 26160 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26155 and 26160. First we will calculate the prime factors of 26155 and 26160.
Prime Factorization of 26155
Prime factors of 26155 are 5, 5231. Prime factorization of 26155 in exponential form is:
26155 = 51 × 52311
Prime Factorization of 26160
Prime factors of 26160 are 2, 3, 5, 109. Prime factorization of 26160 in exponential form is:
26160 = 24 × 31 × 51 × 1091
Now multiplying the highest exponent prime factors to calculate the LCM of 26155 and 26160.
LCM(26155,26160) = 51 × 52311 × 24 × 31 × 1091
LCM(26155,26160) = 136842960
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