What is the Least Common Multiple of 48863 and 48867?
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 48863 and 48867 is 2387788221.
LCM(48863,48867) = 2387788221
Least Common Multiple of 48863 and 48867 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48863 and 48867, than apply into the LCM equation.
GCF(48863,48867) = 1
LCM(48863,48867) = ( 48863 × 48867) / 1
LCM(48863,48867) = 2387788221 / 1
LCM(48863,48867) = 2387788221
Least Common Multiple (LCM) of 48863 and 48867 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 48863 and 48867. First we will calculate the prime factors of 48863 and 48867.
Prime Factorization of 48863
Prime factors of 48863 are 131, 373. Prime factorization of 48863 in exponential form is:
48863 = 1311 × 3731
Prime Factorization of 48867
Prime factors of 48867 are 3, 7, 13, 179. Prime factorization of 48867 in exponential form is:
48867 = 31 × 71 × 131 × 1791
Now multiplying the highest exponent prime factors to calculate the LCM of 48863 and 48867.
LCM(48863,48867) = 1311 × 3731 × 31 × 71 × 131 × 1791
LCM(48863,48867) = 2387788221
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