What is the Least Common Multiple of 48441 and 48460?
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 48441 and 48460 is 2347450860.
LCM(48441,48460) = 2347450860
Least Common Multiple of 48441 and 48460 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48441 and 48460, than apply into the LCM equation.
GCF(48441,48460) = 1
LCM(48441,48460) = ( 48441 × 48460) / 1
LCM(48441,48460) = 2347450860 / 1
LCM(48441,48460) = 2347450860
Least Common Multiple (LCM) of 48441 and 48460 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 48441 and 48460. First we will calculate the prime factors of 48441 and 48460.
Prime Factorization of 48441
Prime factors of 48441 are 3, 67, 241. Prime factorization of 48441 in exponential form is:
48441 = 31 × 671 × 2411
Prime Factorization of 48460
Prime factors of 48460 are 2, 5, 2423. Prime factorization of 48460 in exponential form is:
48460 = 22 × 51 × 24231
Now multiplying the highest exponent prime factors to calculate the LCM of 48441 and 48460.
LCM(48441,48460) = 31 × 671 × 2411 × 22 × 51 × 24231
LCM(48441,48460) = 2347450860
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