What is the Least Common Multiple of 49159 and 49163?
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 49159 and 49163 is 2416803917.
LCM(49159,49163) = 2416803917
Least Common Multiple of 49159 and 49163 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49159 and 49163, than apply into the LCM equation.
GCF(49159,49163) = 1
LCM(49159,49163) = ( 49159 × 49163) / 1
LCM(49159,49163) = 2416803917 / 1
LCM(49159,49163) = 2416803917
Least Common Multiple (LCM) of 49159 and 49163 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 49159 and 49163. First we will calculate the prime factors of 49159 and 49163.
Prime Factorization of 49159
Prime factors of 49159 are 11, 41, 109. Prime factorization of 49159 in exponential form is:
49159 = 111 × 411 × 1091
Prime Factorization of 49163
Prime factors of 49163 are 211, 233. Prime factorization of 49163 in exponential form is:
49163 = 2111 × 2331
Now multiplying the highest exponent prime factors to calculate the LCM of 49159 and 49163.
LCM(49159,49163) = 111 × 411 × 1091 × 2111 × 2331
LCM(49159,49163) = 2416803917
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