What is the Least Common Multiple of 35155 and 35161?
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 35155 and 35161 is 1236084955.
LCM(35155,35161) = 1236084955
Least Common Multiple of 35155 and 35161 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35155 and 35161, than apply into the LCM equation.
GCF(35155,35161) = 1
LCM(35155,35161) = ( 35155 × 35161) / 1
LCM(35155,35161) = 1236084955 / 1
LCM(35155,35161) = 1236084955
Least Common Multiple (LCM) of 35155 and 35161 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 35155 and 35161. First we will calculate the prime factors of 35155 and 35161.
Prime Factorization of 35155
Prime factors of 35155 are 5, 79, 89. Prime factorization of 35155 in exponential form is:
35155 = 51 × 791 × 891
Prime Factorization of 35161
Prime factors of 35161 are 7, 5023. Prime factorization of 35161 in exponential form is:
35161 = 71 × 50231
Now multiplying the highest exponent prime factors to calculate the LCM of 35155 and 35161.
LCM(35155,35161) = 51 × 791 × 891 × 71 × 50231
LCM(35155,35161) = 1236084955
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