What is the Least Common Multiple of 49301 and 49317?
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 49301 and 49317 is 2431377417.
LCM(49301,49317) = 2431377417
Least Common Multiple of 49301 and 49317 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49301 and 49317, than apply into the LCM equation.
GCF(49301,49317) = 1
LCM(49301,49317) = ( 49301 × 49317) / 1
LCM(49301,49317) = 2431377417 / 1
LCM(49301,49317) = 2431377417
Least Common Multiple (LCM) of 49301 and 49317 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 49301 and 49317. First we will calculate the prime factors of 49301 and 49317.
Prime Factorization of 49301
Prime factors of 49301 are 7, 7043. Prime factorization of 49301 in exponential form is:
49301 = 71 × 70431
Prime Factorization of 49317
Prime factors of 49317 are 3, 17, 967. Prime factorization of 49317 in exponential form is:
49317 = 31 × 171 × 9671
Now multiplying the highest exponent prime factors to calculate the LCM of 49301 and 49317.
LCM(49301,49317) = 71 × 70431 × 31 × 171 × 9671
LCM(49301,49317) = 2431377417
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