What is the Least Common Multiple of 65148 and 65161?
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 65148 and 65161 is 4245108828.
LCM(65148,65161) = 4245108828
Least Common Multiple of 65148 and 65161 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65148 and 65161, than apply into the LCM equation.
GCF(65148,65161) = 1
LCM(65148,65161) = ( 65148 × 65161) / 1
LCM(65148,65161) = 4245108828 / 1
LCM(65148,65161) = 4245108828
Least Common Multiple (LCM) of 65148 and 65161 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65148 and 65161. First we will calculate the prime factors of 65148 and 65161.
Prime Factorization of 65148
Prime factors of 65148 are 2, 3, 61, 89. Prime factorization of 65148 in exponential form is:
65148 = 22 × 31 × 611 × 891
Prime Factorization of 65161
Prime factors of 65161 are 17, 3833. Prime factorization of 65161 in exponential form is:
65161 = 171 × 38331
Now multiplying the highest exponent prime factors to calculate the LCM of 65148 and 65161.
LCM(65148,65161) = 22 × 31 × 611 × 891 × 171 × 38331
LCM(65148,65161) = 4245108828
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