What is the Least Common Multiple of 48847 and 48860?
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 48847 and 48860 is 2386664420.
LCM(48847,48860) = 2386664420
Least Common Multiple of 48847 and 48860 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48847 and 48860, than apply into the LCM equation.
GCF(48847,48860) = 1
LCM(48847,48860) = ( 48847 × 48860) / 1
LCM(48847,48860) = 2386664420 / 1
LCM(48847,48860) = 2386664420
Least Common Multiple (LCM) of 48847 and 48860 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 48847 and 48860. First we will calculate the prime factors of 48847 and 48860.
Prime Factorization of 48847
Prime factors of 48847 are 48847. Prime factorization of 48847 in exponential form is:
48847 = 488471
Prime Factorization of 48860
Prime factors of 48860 are 2, 5, 7, 349. Prime factorization of 48860 in exponential form is:
48860 = 22 × 51 × 71 × 3491
Now multiplying the highest exponent prime factors to calculate the LCM of 48847 and 48860.
LCM(48847,48860) = 488471 × 22 × 51 × 71 × 3491
LCM(48847,48860) = 2386664420
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