What is the Least Common Multiple of 48157 and 48161?
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 48157 and 48161 is 2319289277.
LCM(48157,48161) = 2319289277
Least Common Multiple of 48157 and 48161 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48157 and 48161, than apply into the LCM equation.
GCF(48157,48161) = 1
LCM(48157,48161) = ( 48157 × 48161) / 1
LCM(48157,48161) = 2319289277 / 1
LCM(48157,48161) = 2319289277
Least Common Multiple (LCM) of 48157 and 48161 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 48157 and 48161. First we will calculate the prime factors of 48157 and 48161.
Prime Factorization of 48157
Prime factors of 48157 are 48157. Prime factorization of 48157 in exponential form is:
48157 = 481571
Prime Factorization of 48161
Prime factors of 48161 are 17, 2833. Prime factorization of 48161 in exponential form is:
48161 = 171 × 28331
Now multiplying the highest exponent prime factors to calculate the LCM of 48157 and 48161.
LCM(48157,48161) = 481571 × 171 × 28331
LCM(48157,48161) = 2319289277
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