What is the Least Common Multiple of 49157 and 49161?
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 49157 and 49161 is 2416607277.
LCM(49157,49161) = 2416607277
Least Common Multiple of 49157 and 49161 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49157 and 49161, than apply into the LCM equation.
GCF(49157,49161) = 1
LCM(49157,49161) = ( 49157 × 49161) / 1
LCM(49157,49161) = 2416607277 / 1
LCM(49157,49161) = 2416607277
Least Common Multiple (LCM) of 49157 and 49161 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 49157 and 49161. First we will calculate the prime factors of 49157 and 49161.
Prime Factorization of 49157
Prime factors of 49157 are 49157. Prime factorization of 49157 in exponential form is:
49157 = 491571
Prime Factorization of 49161
Prime factors of 49161 are 3, 7, 2341. Prime factorization of 49161 in exponential form is:
49161 = 31 × 71 × 23411
Now multiplying the highest exponent prime factors to calculate the LCM of 49157 and 49161.
LCM(49157,49161) = 491571 × 31 × 71 × 23411
LCM(49157,49161) = 2416607277
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