What is the Least Common Multiple of 49418 and 49431?
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 49418 and 49431 is 2442781158.
LCM(49418,49431) = 2442781158
Least Common Multiple of 49418 and 49431 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49418 and 49431, than apply into the LCM equation.
GCF(49418,49431) = 1
LCM(49418,49431) = ( 49418 × 49431) / 1
LCM(49418,49431) = 2442781158 / 1
LCM(49418,49431) = 2442781158
Least Common Multiple (LCM) of 49418 and 49431 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 49418 and 49431. First we will calculate the prime factors of 49418 and 49431.
Prime Factorization of 49418
Prime factors of 49418 are 2, 24709. Prime factorization of 49418 in exponential form is:
49418 = 21 × 247091
Prime Factorization of 49431
Prime factors of 49431 are 3, 16477. Prime factorization of 49431 in exponential form is:
49431 = 31 × 164771
Now multiplying the highest exponent prime factors to calculate the LCM of 49418 and 49431.
LCM(49418,49431) = 21 × 247091 × 31 × 164771
LCM(49418,49431) = 2442781158
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