What is the Least Common Multiple of 49309 and 49326?
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 49309 and 49326 is 2432215734.
LCM(49309,49326) = 2432215734
Least Common Multiple of 49309 and 49326 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49309 and 49326, than apply into the LCM equation.
GCF(49309,49326) = 1
LCM(49309,49326) = ( 49309 × 49326) / 1
LCM(49309,49326) = 2432215734 / 1
LCM(49309,49326) = 2432215734
Least Common Multiple (LCM) of 49309 and 49326 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 49309 and 49326. First we will calculate the prime factors of 49309 and 49326.
Prime Factorization of 49309
Prime factors of 49309 are 13, 3793. Prime factorization of 49309 in exponential form is:
49309 = 131 × 37931
Prime Factorization of 49326
Prime factors of 49326 are 2, 3, 8221. Prime factorization of 49326 in exponential form is:
49326 = 21 × 31 × 82211
Now multiplying the highest exponent prime factors to calculate the LCM of 49309 and 49326.
LCM(49309,49326) = 131 × 37931 × 21 × 31 × 82211
LCM(49309,49326) = 2432215734
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