What is the Least Common Multiple of 49166 and 49181?
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 49166 and 49181 is 2418033046.
LCM(49166,49181) = 2418033046
Least Common Multiple of 49166 and 49181 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49166 and 49181, than apply into the LCM equation.
GCF(49166,49181) = 1
LCM(49166,49181) = ( 49166 × 49181) / 1
LCM(49166,49181) = 2418033046 / 1
LCM(49166,49181) = 2418033046
Least Common Multiple (LCM) of 49166 and 49181 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 49166 and 49181. First we will calculate the prime factors of 49166 and 49181.
Prime Factorization of 49166
Prime factors of 49166 are 2, 13, 31, 61. Prime factorization of 49166 in exponential form is:
49166 = 21 × 131 × 311 × 611
Prime Factorization of 49181
Prime factors of 49181 are 11, 17, 263. Prime factorization of 49181 in exponential form is:
49181 = 111 × 171 × 2631
Now multiplying the highest exponent prime factors to calculate the LCM of 49166 and 49181.
LCM(49166,49181) = 21 × 131 × 311 × 611 × 111 × 171 × 2631
LCM(49166,49181) = 2418033046
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