What is the Least Common Multiple of 48348 and 48363?
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 48348 and 48363 is 779418108.
LCM(48348,48363) = 779418108
Least Common Multiple of 48348 and 48363 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48348 and 48363, than apply into the LCM equation.
GCF(48348,48363) = 3
LCM(48348,48363) = ( 48348 × 48363) / 3
LCM(48348,48363) = 2338254324 / 3
LCM(48348,48363) = 779418108
Least Common Multiple (LCM) of 48348 and 48363 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 48348 and 48363. First we will calculate the prime factors of 48348 and 48363.
Prime Factorization of 48348
Prime factors of 48348 are 2, 3, 17, 79. Prime factorization of 48348 in exponential form is:
48348 = 22 × 32 × 171 × 791
Prime Factorization of 48363
Prime factors of 48363 are 3, 7, 47. Prime factorization of 48363 in exponential form is:
48363 = 31 × 73 × 471
Now multiplying the highest exponent prime factors to calculate the LCM of 48348 and 48363.
LCM(48348,48363) = 22 × 32 × 171 × 791 × 73 × 471
LCM(48348,48363) = 779418108
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