What is the Least Common Multiple of 48336 and 48355?
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 48336 and 48355 is 123015120.
LCM(48336,48355) = 123015120
Least Common Multiple of 48336 and 48355 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48336 and 48355, than apply into the LCM equation.
GCF(48336,48355) = 19
LCM(48336,48355) = ( 48336 × 48355) / 19
LCM(48336,48355) = 2337287280 / 19
LCM(48336,48355) = 123015120
Least Common Multiple (LCM) of 48336 and 48355 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 48336 and 48355. First we will calculate the prime factors of 48336 and 48355.
Prime Factorization of 48336
Prime factors of 48336 are 2, 3, 19, 53. Prime factorization of 48336 in exponential form is:
48336 = 24 × 31 × 191 × 531
Prime Factorization of 48355
Prime factors of 48355 are 5, 19, 509. Prime factorization of 48355 in exponential form is:
48355 = 51 × 191 × 5091
Now multiplying the highest exponent prime factors to calculate the LCM of 48336 and 48355.
LCM(48336,48355) = 24 × 31 × 191 × 531 × 51 × 5091
LCM(48336,48355) = 123015120
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