What is the Least Common Multiple of 48856 and 48863?
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 48856 and 48863 is 2387250728.
LCM(48856,48863) = 2387250728
Least Common Multiple of 48856 and 48863 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48856 and 48863, than apply into the LCM equation.
GCF(48856,48863) = 1
LCM(48856,48863) = ( 48856 × 48863) / 1
LCM(48856,48863) = 2387250728 / 1
LCM(48856,48863) = 2387250728
Least Common Multiple (LCM) of 48856 and 48863 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 48856 and 48863. First we will calculate the prime factors of 48856 and 48863.
Prime Factorization of 48856
Prime factors of 48856 are 2, 31, 197. Prime factorization of 48856 in exponential form is:
48856 = 23 × 311 × 1971
Prime Factorization of 48863
Prime factors of 48863 are 131, 373. Prime factorization of 48863 in exponential form is:
48863 = 1311 × 3731
Now multiplying the highest exponent prime factors to calculate the LCM of 48856 and 48863.
LCM(48856,48863) = 23 × 311 × 1971 × 1311 × 3731
LCM(48856,48863) = 2387250728
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